What ISN'T there to do in N'awlins, is a better question
The French Quarter is loaded with goodies. I can't stand Bourbon Street, so I won't recommend that. I much prefer Frenchman Street, which is just on the outskirts of the quarter (but in walking distance!). Lots of great food and music venues.
If you like quiet, nice places for cocktails, take the trolley to The Columns on St Charles. If you like hole-in-the-walls and/or dives, well.... turn any corner and you'll find one. The Chart Room is favored by many. If you want absinthe, there's a little alley to the left of St Louis Cathedral called Pirate's Alley. About midway down, you'll find the Pirates Alley Cafe and Absinthe House.
For food? It's a win/win pretty much no matter where you go. Want something high end, check out Commanders Palace in the Garden District or Brennans in the Quarter. Something more mid-end, I like the Original Pierre Masperos. For breakfast, Mothers is fantastic. Don't let the line outside the door scare you off... it's there for a reason.
There are so many great places. Just wander around and fall into whereever you fall into. You'll have a blast.