Things to do in Fredricton, NB

I’ll be going to a conference there next week. It looks like I’ll have some time on my hands Saturday and Monday and I was wondering if any Canadian Dopers had suggestions of things to do.

I’ll be staying at the University of New Brunswick and may not have access to a car. Still, I don’t mind walking and it looks like the downtown is only about a mile away.

In any case, what sort of things should I look into doing?