If you just adopted a cat, congratulations!!!!!! You have so much fun, excitement and love ahead of you.
Should you have your newly adopted cat groomed? I think so, and that’s not just because I am a cat groomer:).
If your cat was in a shelter, I can almost guarantee that the shelter staff were too busy to brush the fur, wash the fur, or trim the claws of your cat. I bet they didn’t have time to check your cat’s ears for waxy buildup. I bet they were too busy saving lives to de-shed or de-mat your cat. They did their job, which was to find a cat a good home. Now your job is to make sure your cat is clean and comfortable.
If you purchased a cat from a store, I doubt your cat was groomed. I know people who have worked at pet stores. There may be a few exceptions, but store employees are not trained in cat grooming. Selling the cat is the priority, not grooming the cat.
If you adopted from a reputable breeder, your cat has probably been groomed before. You just need to continue the grooming sessions.
Did you adopt from out-of-state? I would suggest washing your cat. Most cats get a little messy during travel. They do their best to clean up, but even that wonderful Brillo pad known as their tongue has its limits.
So yes, please do groom your newly adopted cat. Your cat will be a better house-mate with clean fur, clean ears and trimmed claws. That is a civilized cat, prepared to enjoy human companionship with elegance and grace:)