For my daughters tonsillectomy, the doctor was very happy to share how her stats for post surgery bleeding compared to both other doctors in her group, and the national average. But I live in a Boston suburb and every doctor is a lecturer at either Harvard or Mass General.
Another question to ask is will an intern take part in the surgery. At teaching hospitals the answer is almost always yes. You can ask if they operate at any other hospitals, and again the answer is almost always yes, they operate at a suburban, non-teaching hospital where they will be the only one operating.
I got a little bit humbled at Boston Childrens Hospital. I was doing some Googling about the risks of a CAT scan and asked if they did low-dose ones. They informed me that they in fact invented that procedure. Sure enough, the paper I was looking at was authored by a doctor on their staff.