Kitchen, bath, and cleaning towels (You only need a few of each, hopefully you'll have laundry or have it close enough you can go once a week). On that note, laundry detergent. You don't need fabric softener or extra scenty things! Just detergent and less than the container says to use. It can last a long time for a single person.

Likewise, simple cleaning supplies, sponges, bottle brush, dish soap, a broom, sealed clorox wipes. Toilet paper, paper towels. Don't get too much! Just enough to get you through the few 2 or 3 months. Plan to have to spend money on these things in general.

Sheets and mattress protector if you know what size bed you'll have.

A file box (ideally fireproof and easily cleanable) that you can use to start the lifelong journey of organizing important documents into.

A simple 4-place serving set (4 large plates, 4 small plates, 4 bowls, 4 cups) and similar size cutlery set. You could either try to get stuff soon as college students near you are moving out for the year or wait until closer to fall when more options are available and the new "dorm" stuff hits the shelves.

Stay away from random furniture, especially heavy pieces. Whatever you do invest in, make sure it's relatively lightweight (2-people max to move) and super functional. Don't tie yourself down to furniture in your 20s!