This is just my thoughts - take or leave.

Do you think you are wondering if she is "real" with you? Meaning that how she is with you in session isn't fake, but that she is a real, caring person and not just putting on the "act" because it is her "job" and you think that seeing her in a real environment might confirm your feelings that she is real with you or confirm that she is putting on an act? I don't know - just my 2 cents.

I would ask if you could attend. She will say no if she doesn't want you there because of boundaries. It might make for interesting discussion if you did attend.