"A cool drink to hang out with" is just a catchy slogan for an Appy fizz commercial. It's basically just an anthropomorphism, to say the drink is like a (cool) person you would want to hang out with; probably coined because people also say "a cool person."
P.S. "To hang out (with)" = "To spend time with, socially." Usually only used by teenagers and below. Adults don't really 'hang'.