I would go further than the other answers and even say that it is the opposite of your understanding:
The terms "non-stick pan" and "stainless steel pan" are mostly mutually exclusive in their usage. That is, when a cook speaks of a stainless steel pan, or a product description is titled as a stainless steel pan, this is usually taken to mean that the pan has no non-stick coating.
I am saying "mostly", because technically, they are not mutually exclusive, they are orthogonal. You can have a stainless steel pan with or without nonstick coating, and pans of another material with or without nonstick coating. This is why you can still see a product page which has the title of "nonstick pan" and somewhere in the description you will see the material listed as "stainless steel". But this is a minor detail, if you go shopping for a "stainless steel pan" you will almost certainly get only pans without a coating.
Pan materials and coatings can be a confusing topic, and if you have never experienced them live, you may not be able to recognize them from a picture. In your situation, it might be better to buy a pan offline, from a specialized store, and ask a salesperson to show you the different materials so you can start recognizing them. Just don't believe any claim the salesperson or the packaging makes about the durability of nonstick coatings, be it the teflon or the ceramic kind.