If you fill up one of the trash bags before they come to pick it up, you can carry it to the trash room. Usually one on each floor or each building. Then you'll find extra bags in the bottom of the trash can. You'll get a green trash can for recycling and another one for ordinary trash.
Plus fabric softener or dryer sheets if you do laundry.
You'll have a small scrubber sponge in the kitchen, a small bottle of dishwashing detergent, either a small box or a packet of dishwasher detergent, an extra roll of paper towels to supplement those on the holder.
If you need foil, saranwrap, baggies, etc, bring your own.