You need to set the Google
account to Push mode. If that mode is unavailable, it’s because Google doesn’t support the appropriate Push extensions and you will need to configure a Fetch timer.
Alternatively, you can simply configure the Fetch timer to your liking.
To do either, you go to the Settings app, and click on Contacts. Then click on Accounts, and then on Fetch New Data.
On that screen, you can set Push/Fetch settings for each account