I would imagine most T's have done at least some therapy during their training. I would think it's a requirement just about anywhere. Does your T discuss their experience with you?
My T has shared little pieces (when appropriate) and I can't tell you how much it's helped. Therapy has been a scary experience for me because I am slow to open up and trust. Hearing his experience has helped me see it's hard for anyone! It also helps to level things for me and help me see my T has a genuine human being. He's pretty blank slate with me (he shows his emotions but rarely his life) and it's nice when I can get a sense of his own vulnerabilities. It helps me to let go.
I know that he did it for 2 years with the same T (his school required one year but wanted to stay for two,) experienced his own transference (though I know not a single detail about that,) found therapy terrifying very often, found it difficult to open up, came late sometimes on purpose

, still maintains very limited "hi, I am well" email contact with his T, respects his T tremendously and felt loved by him, and told me his T was the only person he could think of that knew him completely without judging.
What has your T shared?