Welcome! I myself had a horrible experience w/ Sadie's first grooming; we live in New England and took her to the groomers in the middle of winter. She wasn't horribly matted so I was soooooo upset when the "puppy cut" they had given her translated into "shaved with a little hair around the face."
I was upset because it was so short but also because it was WINTER in NEW ENGLAND and the poor thing shivered for weeks. I think it was a combination of the cold and I really do think they weren't all that nice to her.
But luckily I relented and took her to a different groomer months later and their "puppy cut" really does look adorable....I tell her she looks like a little reindeer, she's allllll leg with this cut, it's so cute.
Bottom line is, it's traumatizing but the hair really does grow back pretty quickly. Try not to worry too much and tell your puppy that he/she looks adorable.