It depends on how much you cook and how much laundry you'll do.
You will have paper goods (toilet paper, paper towels) provided - so don't worry there. If you need more call. Also, soap for the diskwasher (if you are in a one or two bedroom).
You will have one prepackaged coffee and filter. Not good if you want to make coffee. And one load worth of laundry soap.
On our list:
salt and pepper
coffee filters
ground coffee
cream
sugar (I pack a small tupperware)
milk
juice
cereal for the kids
bread
peanut butter
jelly
laundry soap
eggs
cheese
bagels
water
good corkscrew (the one in the units is bad)
wine stopper (none in the unit, and by the time the cork is out with that bad corkscrew, I couldn't reuse it).
You'll note I have stuff for wine, but I buy a bottle at the gift shop if I decide I want it. Just easier, and my husband doesn't drink it, so I might not bother to buy it. We've also found eggs to be reasonable at the shop, and while you pay convienence store prices, that's what I'd do if I wanted a frozen pizza or something.