With a cat grooming, we will do a thorough brushing, and if the cat is tolerant, a bath as well. Nails are clipped, ears are cleaned, and anal gland can be expressed, if needed. Cats are totally different to groom than a dog and require a lot of patience and skill.
Some cats come in matted and will required a shave. This is typically called a lion cut. If your cat is not matted, they can be clipped at different lengths, and maybe a Mohawk might be to your liking.