Yes I did a lot with the therapist I used to have. I would keep going back and telling, too. However, in my case my therapist didn't want to hear it and would interrupt me, would stare at me and be cold, would forget what I said, would tell me immediately after i'd share that he preferred to work with other clients than me, that I was taking up a spot on his schedule that someone on his wait list could have, said "so what they raped you" -- I could go on and on with what I now know was intentional sadistic behavior on his part. Still, I went back, butterflies and all, but increasingly with fear.
The past month I have been grieving that therapy relationship and that I kept going back. The reason I kept going back was because all I wanted to do was to "tell my story to someone who would listen." I sure as hell did not want to tell my friends, and I will not.
It sounds like your therapist is a willing participant and listener. For me it was a deep need physically to get it out of me, and emotionally a deep desire. When I finally terminated with that therapist it just happened, by body just took over, it just came out of my mouth as I cried and cried. This is my last appointment. To which my therapist told me he had "hostile feelings" for me. First time I ever heard him tell me this is the day I told him it was my last appointment. It was confirmation he was a sadist and we had played out my relationship with my mother over and over and over .
It took me about a year to let my nervous system calm down from the three years of torture. The new therapist I did look forward to our sessions, as I wasn't interupted, I was listened to, and it felt like junk just got dumped in his office and left there. It was very freeing. And learned about myself and could grieve in a healthy and very needed way.
Sorry to make this post about me... but what you described is also what I experienced--only my relationship with my therapist was not a healing one.