Hey, I have been living in New Orleans for a couple of years. Definitely check out the French quarter and Bourbon St. but be careful it gets kinda dangerous at night, just don't go wandering down some dark alleys and go with people if you can. I don't really like the French Quarter all that much, but it is an experience and there is some cool stuff there. Don't miss Jackson Square and Cafe du Monde for cafe/chicory and beignets. Mississippi River boat tours are pretty fun. This city is known for its food so I would definitely go to some good restaurants. My top choices are:
Jacques Imo's (Uptown, ~$30, very good southern style, try the alagator cheese cake)
Dick and Jenny's (Garden District, on Tchoupitoulas, ~$30 more American style food and calmer)
Mother's (Downtown, $10-20, Southern cafateria style)
Parasol's (Garden District, $10, awesome po-boys, a real dive)
Port of Call (French Quarter, $20, on esplanade, huge burgers, potatos, salads and drinks)
If you want to go all out, check out Commanders Palace, Emeril's Delmonico or Arnaud's, pricey but fancy and good!!!
If you have time, you should check out the Garden District, Magazine Street (tons of shops), Autubon Park (You can walk past the park and there is a zoo and if you walk past the zoo there is a place called the "Fly" and its on the Mississippi levee, its kina like a huge park right on the river), and Tulane and Loyola. For a more "local" night scene, go to Frenchman Street, this is where the Jazz clubs are. Wonder into Snug Harbor, DBA, and the Spotted Cat. Everynight there is a show. The street car is the best way to get around. I'm sure you can look up the lines via google. If you are going to get a car, you could check out the lower 9th ward to pay respects. Also, City Park is towards the lake, there is an art museum and a free sculpture garden. If you wander around City Park there is some cool stuff too.
I have not been to LSU's dental school, but from the freeway the LSU Health Sciences Center looks pretty new. I have a friend who's mom works at the dental school and rumers are that the dental school got rebult after the storm. I hear it is a wonderful NEW facility. LSU Dental addmissions is interesting, they still have the chalk carving test! Also I have a few friends that go to LSU and Tulane Med school and they all live uptown, it's pretty safe area and college oriented, so maybe check out that area.
I think I repeated some of what people said, but yea, have fun!!!