No such thing as "normal"! If you are feeling good, then that's great and you should definitely embrace it. I can only speak for myself and I know that aside from being addicted, I couldn't stop for anymore than three days. Other people have gone for a month without drinking then when they start again, it's completely out of control.
I think a good place to start would be to start reading about alcoholism, not necessarily AA related, just memoirs and stuff. I find them really inspiring in all areas of my life!