If you are moving forward in your healing, I would not advise it. if you feel like you and your therapist reach a point when you are "stuck" then maybe it would be beneficial.
As to have I gotten my records, no. Although I did read my initial intake report from my psychiatrist when she sent it to my primary care doctor (PCP and I were in the same office so I had access). I've thought about requesting additional records for curiousity more than anything. But I finish with her in one week and will not be seeing a new psychiatrist. I'm feeling it's a good time to "un-medicalize" my mental health, so I don't think I'll get them.