I don't think it is normal and is encouraging your transference, playing on it even, to meet his own needs.
I wonder what he gets out of your hugs? He initiates them therefore he wants them to fulfil his need for closeness. Ideally a therapist should wait for the client to ask for a hug but clearly discuss what they both want from them and boundaries. I am concerned by the frequency too, if you are feeling these feelings like an electric energy between you it's likely there is a chemistry there and he feels it too.
Is it possible these are your feelings and you are projecting them onto him or do you feel he has them too?

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