GF made a FB page with my name to spy on me?

The last thing you said is exactly right, her actions do not reflect someone who loves you. By the way you've worded it, it sounds like an immature high school girl who has no idea what the word love means, but likes to say it. I'm just surprised you didn't say your ex-gf did this, because there is no way you could ever trust her again after some deceitful games like that. Move on, there are smarter and more trustworthy girls for you in your future.