A "grooming session" refers to a specific period of time when a person or animal is being cleaned and cared for, typically in terms of their appearance and hygiene. Full definition
Feed the dog skin and coat treats during grooming sessions as rewards to maximize skin and coat potential. (cuteness.com)
Schedule regular grooming sessions with your cat, in addition to frequent massages. (petpeoplesplace.com)
Give your dog regular grooming sessions during the winter, making sure that you use a comb as well as a brush to get right down to the skin. (huffingtonpost.co.uk)