I do this stuff for a living. I work for a company and we handle national accounts for maintenance. I specifically deal with lawn/tree maintenance.
You got a great deal for sure. But did he do a good job.
Prune off dead wood? Any cross branching? Reduce weight reduction? Little things like that.
People can laugh at this next comment if they want, but I believe tree pruning is an art. Ecspecially the guys that tree climb. That's a dying breed.