Yes you should learn.
Cochlear Implants exist but don't exactly turn deaf people into hearing people - it's complicated and they don't work for everyone.
ASL is an incredible thing to learn in so many ways. I would at least check it out, see if you enjoy learning it.
As far as books go, they can be great for learning about the Deaf experience, culture, history, and once you've learned some basic ASL - books about structure of the language can be helpful. But I would not use books to introduce yourself to the language. For several reasons. First, it's too hard to learn the 3 dimensional shapes/movements from pictures and drawings. You really need real life examples, or at least videos for that. Second, even if you learn vocabulary correctly, you'll be very likely to try to string those words/signs together as though you were making an English sentence. Which is very different from ASL. So it's better to get feedback from a teacher/mentor, or at least use a study source that teaches you how to use your new signs in context, not just as isolated vocabulary words.
So you can still borrow books if you want to, but I would supplament those with DVDs that show you how to form the signs. Or go online for that. Better yet are sites like
• ASL • American Sign Language that show you how asl is actually used as they teach it to you. The very best way to learn is by taking a class with a good teacher fluent in ASL. (Note: you don't have to pay university prices - some areas have non-credit classes that are very inexpensive in comparisson. But if you don't have any money at all, at least check out lifeprint.)
Good luck and have fun!