Carmen there are 2 books that I got that really gave me a insight into the Deaf culture. I listed them below. But the best way for you to learn culture is to have Deaf friends. I have made quite a few since I started learning ASL and that has been the biggest help. The books below are good ways to learn some of the history and such but they cannot replace experience and the things you will learn from having Deaf friends.
Both of these books are by Harlan Lane
When The Mind Hears: A History Of The Deaf
A Journey into the Deaf-World