Apple is default to Apple Maps
Android is using Goole Maps
Apple changed from Google to their own maps with iOS 6, with much consternation from users. I am still running iOS 5.x primairly due to this issue. Apple maps were missing a lot of info at launch - probably better now. This mess is widely consiered to be Apple first big goof.
I suspect they will always look slightly different as Apple wants it that way. I think you can get a Google map app for the iOS and you could always switch to MapQuest on both.