A little bit childish. BUT, in comparison with "The Flash" it's perfect. It's not a standard superhero fiction with story about "wow I've got powers, let's get fun", etc.
Flash looks too commercial, Supergirl is a solid story, sometimes funny, sometimes stupid, but real -- finally, the series where when someone dies, he/her really dies.
I don't want second season, it cannot be better.
Strong 7/10