If you are in the FQ, you are in one of the must sees. There are a lot of good tours, but you can also do a self-guided walking tour there. Just to name a few places off of the top of my head: Jackson Square, Cafe du Monde and too many other bars and restaurants to mention, Frenchmen Street, take the St Charles Street car line and hop off in the garden district. That should be enough to get you started.