@paulfromwinnipeg You can process the appointments from your Google calendar, either the iPhone Google calendar app, or from laptop/desktop using browser to Google calendar.
If you have Google calendar embedded in your iPhone calendar, the appointments will sync and will shows as accepted not tentative once you accept them. This is set within iPhone Calendar, hit "Calendars" button and make sure Google calendar account is checked (ticked).
It is a double setup with Google calendar app and Google calendar synced to your iPhone calendar, however once you set it up you only need to use the Google calendar app once in a while, to process these appointments, or if you prefer some of the views in that calendar vs. iPhone calendar. Google calendar iPhone app has a better day view than iPhone calendar, but it does not have a "list" view.