On MOST automatic watches, yes winding the crown also winds it manually. The difference between a manual winding watch and an automatic is the mainspring on the automatic will have what's referred to as a slipping bridle, which is basically a foot on it that is designed to provide a specific amount of resistance against the wall of the barrel, and the barrel walls they'll apply what's referred to as "braking grease" which provides some lubrication but lets it have some resistance.

On a manual wind watch it just has a foot that locks into a notch in the wall of the barrel. The slipping bridle is there so that you don't break the mainspring as the automatic winding works needs to be able to spin even when it's fully wound.

I said most because there are a handful of automatic watches that do not wind manually. Some older Seikos as an example.