Clothes - you know your DD so you'll know how heavily she packs. Shoes, make up, toiletries, hairdryer/straighteners, duvet, pillows, cushions, throw for bed- as it's also her sofa, towels, Kettle(?), glasses, mugs, crockery and cutlery for one, microwaveable tupperware is handy, tv (theoretically a tv means she'd need a license), laptop, printer, docking station for mp3 player, textbooks if she already had a list (or they can get them there), books, folders, pads and pens...
You can buy her the tea, coffee, sugar, persil/ariel stuff, noodle based snacks, washing up liquid and cleaning wipes - handy to have to wipe around quickly if she wants to have a bath, hand soap if she has a sink in her room etc once you're there!