The term "chemical peel" and what sits under it
The phrase names a type of treatment, and the details sit underneath it.
A name that covers several products
A chemical peel is a named skin treatment, and the name covers more than one product. This page does not describe the chemistry or the depth as fact. It lines up three public descriptions so you can compare them field by field.
Three descriptions, three columns
Cleveland Clinic's page on chemical peels, their types, conditions treated and what to expect is one source. A dermatologic surgery society has its own chemical peels page. The third is the ASPS article on everything you need to know about chemical peels. Make a three-column list. Write down how each one defines the treatment, what types it names, and what it says to expect.
Turn the comparison into questions
Take the list to your consultation. Ask the provider which type they would use, what is in it, and how it matches the types named in the sources.
Product name and strength
Two peels with the same word on the menu can differ in the details. Ask for the product name and the strength, not only the label on the service list. This site reads labels rather than treating skin, so ask a licensed provider which peel suits you.