In order to link your current account to Google Play you will need to open your in-game Settings Menu.
You can find your Settings by tapping on the gear icon on the left side of your in-game screen.
In the Settings Menu, you will find the option ''Sign-In with Google Play''.
Simply tap on the button and your account should then link to your Google Play account.

NOTE:
If your Google Play Credentials are already linked to another account, an error message will appear, telling you that the action cannot be completed.
In case this happens, please contact Support.