Displaying a post under a page template

Longtime WordPress user here but this is a new undertaking of mine.

I want to know if it’s possible to display posts in a particular category under a different template than the rest of the site. I’m not talking about a little change here and there, but a whole new header/footer/body.

I’ve thought of using Pages and their inheritable templates. I know I can display a list of posts from a category on a Page, but I don’t know about a single post.

Can anybody help me out? 🙂