Most groomers for puppies for time will only do little touch ups. That should not take very long, though some people right away want a fancy hair cut it is better for the puppy to just have touch ups to get them use to it. Ask the groomer what she will do on the puppy. Try to bring him in every 2 weeks for a few times so he gets used to it, then you can ease of to every 4-8 weeks depending on your breed. Play with your puppies feet at home, get him to stand on a table. Look in his ears, touch his face.
Ask the groomer to demonstrate how to properly brush a puppy, a good groomer will gladly do this for free.
You can ask how long a groomer has been grooming but some people just pick up grooming so easily and quickly that that isn't always a good judge (and others are slow at picking it up, and others just suck, sorry to say)
Go to some grooming shops and watch for a while as they groom the dogs, see how they interact with them. Though remember, just cause a dog is trying to bite the groomer does not mean the groomer is bad, it usually means the dog was not introduced to grooming till late in life so doesn't know whats happening and some dogs are just aggressive dogs, but you can see how they deal with snappers. They need to be firm with the dog but obviously not screaming, hitting, being overly rough.
Anyways I am just blabbing here, good luck finding a groomer.
Also one last thing. though it can be very tempting for a mom to stay while their dog is getting groomed, a lot of the time that can make the puppy worse as they are trying to get to mom, and curl up with mom and such.