Sadly you can't install Google Play on your BB10 devices. You can however install the Amazon App Store to get a lot of your Android apps you are looking for. There will be certain apps that wont function because they require google play services ex. Google play games (which means no game syncing), but Amazon app store will get most of your needs though.
You can get Google Play service, you have to update to 10.3.
There is an article on CrackBerry, Cobalt's Google Apps Landing, that has complete instructions on installing 10.3 and the GP services.
Even though Verizon is giving the update, the leaks have been released by Chen & Co and they are stable.
The Amazon App Store is good.. but Snap is better (also on CrackBerry) 🙂
~Rockin' a completely customized Z10 with all the greatness BB has to offer