Am I open about the fact that I smoke weed?

Yeah. It's not exactly something to be ashamed of.

Do I consider myself a stoner?

Of course, but to some people, unfortunately, that word has some negative connotations...lazy, stupid, watches TV all day, etc.

People usually don't ask "are you a stoner"? It's usually more like "so do you smoke reefer? Cool man, wanna blaze?"