Oh. Hell. Naw.
(I would pee all over myself from fright.)
The Blue Jays will be on the road the days we will be there. 
Curling lessons seems right up our alley. Will see if it’s doable for this trip.
Looks like the season ends this month and they will be closed until October if I’m reading correctly. It was unlikely we would have been able to do it anyway since our foray to Niagara will be with a tour group.
Tafelmusik is doing Chopin (Fialkowska) and Beethoven on June 1 and 2 at the Royal Conservatory of Music’s Koerner Hall (it’s beside the Royal Ontario Museum). Well worth travelling to listen to. Tafelmusik is a Toronto ensemble and Janina Fialkowska is a Montreal pianist.
For something more hip, have a dinner at C’est What? when they have a live performance.
For something more participatory, there are quite a few folks dancing about in Toronto– if there happens to be a swing night at the Palais Royale this June, jump on it, or into it, or whatever your style is.
If winter ever actually ends this year (there is some doubt as to whether or not it will this year), consider taking a ferry ride over to the Toronto Islandsfor a wander about the park and dip in Lake Ontario at Hanlan’s Point Beach – no need for bathing suits.
All sorts of events and festivals going on in TO in June.
And if you are into urban exploring, try to make it from the Legislature to Bay Street without going outside or using the subway train.
On a related note, if the weather is crappy, you might prefer to wander about downtown without going outside via PATH.
Oh well, there’s lots to see and do there. It would’ve been fun, though. It was one of the highlights of our trip.
Well, the alternative is to rent a car and spend an hour-and-a-half driving out of downtown to the zoo. Then paying for parking.
It’s a fine zoo–one of the best in the world, IMHO, and well-worth seeing–but I can understand if the OP wants to give it a pass.
I’ll add that just west of the Legislature is the University of Toronto–lots of ivy-covered buildings and plenty of Canadian history. Even if you’re not a history buff, it’s a nice, quiet oasis in the middle of a bustling downtown, and the university’s Hart House could be a nice place to stop for coffee in the middle of the day.
Ah, I should add for the OP–when you ride the TTC (transit system), always, always, always get a transfer. Transfers are always needed when connecting on surface routes (e.g. bus-to-bus, bus-to-streetcar, etc.), but only sometimes when connecting to the subway. You won’t need a transfer to get on a bus at Eglinton subway station, say; but you will at Sheppard subway station. Do what Torontonians do: when you start your trip on the system, ask the bus/streetcar driver for a transfer, or pick one up from the machines at subway stations. That way, you’re not stuck paying an extra fare; and if it turns out that you don’t need it, well, you’ve got a souvenir of your ride.
Transfers are free, and if memory serves, are valid for an hour after time of issue.
Oh, I should add a few dining recommendations.
One place I always liked was Baroote’s (pronounced “ba-rooteys”) on King Street West. My ex-wife and I would usually hit Baroote’s before or after a show at the Royal Alex. Just below Baroote’s is Quotes Pub, which is a little less formal, but could be a very nice place for lunch or a casual dinner.
More pub fare can be had at the Scotland Yard, on the Esplanade a couple of blocks east of Yonge. (It is just “the Esplanade”; in spite of its grand-sounding name, it is just a street, running parallel to Front Street, one block south.)
Fran’s has a location not far from the OP’s hotel. It’s nothing fancy, and is pretty much typical diner fare. But Fran’s is a Toronto tradition, and more than a few Torontonians (and ex-Torontonians, ahem) have found themselves heading for Fran’s in the wee hours; or at more regular times for just-plain-good diner fare.
For deli, you cannot go wrong with the Pickle Barrel. Probably the best Reuben sandwich in town, and I speak from experience.
I guess I don’t have very many “fine dining” recommendations (except perhaps for Baroote’s), but all of the above have good and friendly service, and you won’t leave hungry.
If you are going to the CN Tower, I would suggest having a meal instead of just paying the admission price. Admission alone is $27. They have a Pixe Fixe lunchfor $55. I know, “Whoa, $55 for lunch?!?” It includes appetizer, main and dessert AND the elevation fee to the observation levels. The restaurant rotates and ‘forces’ you to take in the surroundings and enjoy the view for over an hour. When we’ve gone for just the sightseeing, we usually last only a half hour before we’ve seen all that we care to. You also get to bypass the lineup at the base of the tower.
I’ll have to echo Barberians and George as well. We ate at Barberians about 10 years ago and George a couple of years ago and both were spectacular (albeit pricey). Canoeis a favourite of ours as well.
St. Catherines is very close to Niagara Falls and Niagara-on-the-Lake. You could easily do a side trip when you are visiting.
I just looked at the transportation options from the airport.
Limo - $58 each way
Taxi - $53 each way
Express Coach - ~$22/person each way
TTC (Red Rocket) - $2.65+TTC fare/person each way. TTC also has a Family Day Pass for $10.75/2 adults for unlimited travel. I guess this is the way to go…but it will be a bit of an aggravation with luggage to transfer between bus/subway stations. King station is the closest to the hotel.
Keep an eye on the weather before you come. It can still get cool here in June, maybe similar to your weather for the next couple of weeks.
Not sure what you mean by this: it’s just TTC fare ($3, if you’re using cash) for each person. Transferring from the bus to the subway is free (and vice versa).
If you can wait a couple of years, the airport train (scroll down for construction pics) will be done. 
Oh, did I mention? This is The Airport That Is Always Under Construction.
I recommend the express coach, or (if there are four or more of you, but you can all fit into one vehicle) a cab. Take the bus if you are on a budget, but be aware that you’ll have to change twice to get downtown. And it’s a long subway ride in from Kipling.
Or, if you’ll be here after June 29th, they’re increasing the number of trains on the Lakeshore Line to one every thirty minutes (finally!). So take the GO Train to Rouge Hill station, and take the 85 bus from there to the zoo.
I left Toronto in 1982, so not sure what specific places for dining I would recommend – there are many top notch Chinese and Indian restaurants downtown.
The Zoo is fantastic, as is the Science Center.
Missed it by -||- that much. We will fly in on the 23rd and out on the 27th. Looks like the only Festival type activity going on during our stay will be the Jazz Festival. Hubbster isn’t into Jazz.
As far as transportation to and from the airport goes, we are budget conscious, but don’t tend to be penny wise and pound foolish. We will have to consider that there is a large difference between $12 and $116. That’s enough for a nice lunch at the CN Tower. 
I intend to leave our Washington luggage in the trunk of the car at the airport, so we won’t be carrying 8 days worth of clothes, and we tend to pack fairly light anyway. I’ll have a backpack and a suitcase and he’ll have the same.
If you’re going to take your luggage on the subway, Sunday is a good day to do it. Note that you’re not supposed to take bulky suitcases on the subway during rush hour; people do it (including me, once or twice), but you’ll definitely get the stinkeye from TTC employees and commuters at a minimum.
Whoops, I quoted the extra fare required for the Downtown Express. The Airport Express is part of the regular fare. If you are going to use TTC to get around, then the family day pass is still a good deal.
BTW, the weather will finally be warm by the end of June. My comments were directed to the beginning of the month.
Travel safe!
Your prediction was pretty accurate; it’s rainy and cool here at the moment.
Hockey Monkey, it looks like you’ll miss Toronto’s big Pride parade on June 30. Too bad: it’s a lot of fun!