"Normal" depends on the therapist and the client. My T does not touch clients at all, for example. Some people hug or shake hands. Kissing of any kind seems very unusual. From reading here, it sounds like most therapists will discuss the issue of touch with the client, and not just go ahead and do it.

I would not be comfortable with what your T is doing (especially if it seems like there may be some physical attraction happening), and if you are not comfortable, you should talk to them about it.