Wow, it appears she's fulfilling her needs over yours. Maintaining good boundaries in therapy is crucial to a healthy therapeutic environment. She seems to have missed that lesson. You do have options. Explaining to her how you feel about the hugging and the Facebook thingy would be one option to go for. See how she responds to what you express to her and how it makes you feel. If a therapist hugged me without my permission, he/she would probably get smacked. I have been hugged but that was done with my requesting a hug from my T. Your permission has to be granted, and also the therapist has to be receptive to giving hugs, too.

Pretty much what you explained does give me the creeps and highly doubt I'd continue with her as my T. Good luck with whatever decision you make and hope things work out for the best.