Depending on what type of dorm room she is in, sharing a room to the quad style private room and type of bathroom / shower set ups,
Blankets
Sheets
Pillows with extra pillow cases
Mattress pad the thicker the better
Towels ( shower curtain, bath mat)
Clothes hamper with some type of sturdy handles for carrying it
Chair
Clip on lamp
Some type of safe, so that she can lock up her stuff, such as her lap top, I-pad, purse, wallet, jewelry, important papers, phone. They make a variety of them, and most can be locked to a bed frame so it doesn't disappear. Some kids use a foot locker with a lock.. lots of storage, and they can lock up what needs to be protected, and it's not a hassle...
Water proof phone case / for the showers
Some type of plastic carrier for the shower, for her to put her shampoo, and other bath needs in... One with holes in the bottom.
If she is living in a private room quad set up, a real lock for her door... Our friends DD was in the shower, in her own room with the door locked, and when she came out her lap top, I-pad, purse/wallet, was gone... They found out who did it and it was another girl in the quad with her, said you just have to push up and lean on the door knob and it will open.
Paper products, paper towels, paper plates, plastic cutlery, toilet tissue, ziploc bags
Plastic air tight container for her to put snacks, soup, ramen, mac & cheese cups, whatever.
Stocking stuffers
First aid kits ( hit the dollar store, maybe even a small pill container for her purse or backpack to keep with her)
bath supplies
hair stuff
nail kit, clippers, nail file, tweezers
travel mugs, for hot or cold items
Chip clips
If she has a car
AAA membership
Good car charger for her phone.
How to change a tire instructions, and the tools needed to do it.
Pay for a tune up, oil change, tire rotation, or even new tires if needed
Larger first aid kit
Car kit - jumper cables, orange reflective cones or triangles
Car supplies, if she was stranded what would she need - blanket, towels, toilet paper, paper towels, bottle water, and something to defend herself with.
Gas card to come home...
Uber/lyft on her phone - with your credit card, for the parties and such... so she knows she can get home safely, no drinking and driving, and no judgment from mom and dad, or if she is out somewhere, and doesn't like the vibe or even on a date she can leave and get home.