There's nothing about this I don't like, so far. I like the art. I like the first person narration. I like the fact that it's a reboot.
I'm surprised that I'm looking forward to Supergirl #1
, because Supergirl's not a character I've ever paid a whole lot of attention to. She is one of the first comic book characters I remember reading about, though, along with Superman (of course) and Batman. She's been through so many versions, and so many of them confused and annoying (IMAO and to the admittedly vague extent that I noticed them) since COIE that if any DC character is more likely to be improved by and less likely to be damaged by rebooting one more time
it's probably her.
Oh, and I like the costume.