I seem to remember that you live in or near Salem, Oregon. If so, I do, too, and I may have some stuff you can have–my e-mail is in my profile. Seriously, it’s going to Goodwill, so let’s just cut out the middle man.
I also recommend you check out The Dollar Store. You will be able to get any number of useful stuff–plastic containers, a can opener, sponges, cleaning supplies, etc.–for a dollar each (hence, the name). 
Other stuff to get if you are going to do any cooking:
A good frying pan (saute pan, skillet or whatever). I like one with straight sides, because then I can use it for almost everything. Which means
I only need one other good pan/pot. Something to steam veggies in or heat up the soup. I’ve always cooked and I did fine with just these two pans for quite a while.
A good kitchen knife. If you can spend some money on this, it’s worth it. I managed with a good (a very good) paring (sometimes called a utility knife) knife plus a cheap bread knife, but a good paring knife and a good chef’s knife (8 inch) is better.
A George Foreman grill. I love this little guy.
A one cup measuring cup.
Wooded spoons and/or plastic spatula.
Other things good to have:
Pillows, in all sizes and shapes–increases the seating capacity of any room.
Beanbag chairs are more comfortable than ever before. And can double for a bed if necessary.
Lamps.
A toilet plunger.
A good flashlight.
Boxes, covered by inexpensive tablecloths make fine end tables and nightstands.
A folding card table and at least one folding shair–this can double as a study table, a computer table, a dining table, a place to play cards, etc. Yes, you can always eat at the coffee table while watching TV, but sometimes it feels good to sit at a real table and eat a meal. again, a cheap tablecloth can disguise its true nature. of course, if you find a real dining table, even better.
A vacuum cleaner (one of the things I have that you can have, actually).
Things to hang on the wall. Something to give the apartment a personality.
A hammer, screwdrivers, and a pair of pliers. the landlord/maintanence person won’t always be available (or you may need to do something you don’t want them to know about). And eventually you move up to “some assembly required” furniture anyway.
That’s it for now. Good luck.