Getting good sound will come when you get some of the fundamentals under your fingers, in the mean time..... You are taking lessons from a live instructor. That is step one. Do what your instructor says. Did I mention, do what your instructor says....... LOL, he is taking you down a road of discovery, best to listen to what he has to say before jumping off into something that will just confuse you.
In between your lessons you may pick up some pointers from the book
Bass Guitar for Dummies. Your local library will probably have a copy. It will give you all the gotta know things like how to hold your bass, how to tune it, how to get sound coming from it and how mute some of that sound. Kinda important you get all that down first.
The Internet site
www.studybass.com is an excellent source of information. Time spent here will be time well spent.
Between the book and the Internet site and your instructor, that should give you plenty to do.
Welcome to the bottom end.