Walk is a verb.
I walked there.
She is walking over here.
He can walk better now
Etc
To go for a walk is a phrase.
I'm going to go for a walk: I'm heading out to have a stroll, a wander around, clear my head, that sort of thing. It means to walk for pleasure rather than a purpose (I.e. walk because you want to walk, not because you have to get somewhere).