I have a pretty extensive packing list on my WDWCP website (link is in my signature.) In fact, there's a whole "Anticipation" section, and some of the things in my "Living" section might be good information, too. I also have links to maps of local targets, walmarts, banks..all kinds of stuff.
They are working on installing high speed connections in all of the apartments; installation starts this month. I'll probably be a while before connections are available in all apartments. I'm not sure what complex they've started installations in.
For her computer, I wouldn't bring anything special. Make sure you have an extra phone cord for her modem, and you'll be fine.
Also, are you driving down, leaving a car with her and flying back? Flying both ways? Because that'll definitely make a difference.
Clothing is hard to gauge; especially for an advantage program. She'll definitely need lots of shorts, tees and tank tops, a couple pairs of sandals, some dressier "going-out" clothes, clothes for traditions and possibly for training -- what is her role?
For bedding, I would bring 2 sets of sheets, and if you're flying, pick up a comforter and some pillows when you get down there. There's an outlet mall with bedding stuff right next to the Commons and Chatham, and there's also
Walmart, Target, Bed Bath and Beyond and Linens and Things to pick them up down there.