When you remove a Google account from your phone, all the information associated with that account is deleted. This includes all of the data saved on the phone, as well as any apps installed from the Google Play Store.
To do this, you need to go to Settings > Accounts > Google. Tap the account you want to remove and then tap Remove account.
No. Google is not a backup service, so deleting an account will not delete all of the data that you have stored with Google.