My DD's dorm has vacuums and things like pots and pans (cake pans, muffin tins, etc.) to borrow from the front desk in her dorm. (There is a shared kitchen with an oven and microwave in every dorm on her campus.) They need to leave their student ID and get it back when the item is returned. DD does have her own Swiffer and the dry and wet cloths to use it.
I would concentrate on making the bed comfortable. DD has a couple of different mattress toppers plus pretty nice sheets and a good comforter. They don't sleep a lot, so I want her to have a good quality sleep when she is able. She also goes to school 1,100 miles away, so spends some breaks on campus.
She has a school-provided loft and likes it. She likes her storage ottoman (from Target) as it holds things like sweatshirts and functions as extra seating. She has a nice dorm fridge. I bought her a "fridge cart" from The Container Store that makes it sit higher and has drawers underneath for her food and a few dishes. It makes the room look more "homey."
I think girls bring more "stuff" and clothing, but boys have more gadgets and technology. I saw quite a few 42" (or bigger) TVs and many gaming systems being brought in on boys' floors during move-in.
I started shopping for her during Sept. of her Senior year when all the colleges were back in session and Target and Bed, Bath and Beyond began their clearance sales. My other kids are in HS and I have begun buying things for them, as well, because they overlap some college years. She also got a 20% off your purchase coupon from B, B &B when she got her final report card. We used that to get some things once we knew which dorm she had been assigned. We also shipped some things to her through
Amazon. What we are going to do with it over the summer is another question!