Are there many doctors? Are they well paid?

Yes there are various doctors for each specialty at each clinic or hospital just like the United States. The doctors who worked in the Socialized Health Care System did not earn as much as the doctors that accepted private insurance, or had a private practice.

http://www.peruviantimes.com/peru-doctors-launch-48-hour-strike-over-pay-and-benefits/

http://www.payscale.com/research/ca/People_with_Jobs_as_Physicians_%2F_Doctors/Salary

http://socglory.blogspot.com/2006/03/at-last-judge-cracks-down-on-legal.html