to the point where you’d completely give yourself to, dignity and all. It also implies that the object in question is awesome enough to be worth of dominating you completely.
Angela: Goddamn, I love him! I just wanna marry him and be his sweet little bitch!
Tim: Check out that sweet Viper over there!
Bill: Ah, baby! I’d marry that and be its sweet little bitch.
Janet: SPRING BREAK! WOOT!
Craig: Why don’t you fuckin’ marry it and be its bitch?