Should I internet-stalk my ex girlfriend?
That doesn't sound good. Why do you want to stalk her?
I have been fascinated with her all my life, so much so that I cannot imagine a time when she is out of my life.
It's understandable to want to know how someone is doing, but stalking is wrong. This is pretty creepy and an invasion of her privacy; you should think about how this might make her feel.
I know it is wrong but I want to know all about her.
If you really know it is wrong then you should stop stalking her. She could go the police if you don't stop and you could get in serious trouble.