Christine hates the iPhone Calendar. She wants her Google Calendar to be the default. Rich says that iOS is sandboxed and there's no way to set a default app that would send her information where she wants. Rich recommends going into the iPhone's calendar settings and setting Google Calendar as her main calendar. Then all she will see is the Google Calendar. It's still using the iPhone calendar app, but it's all her Google Calendar information. That's about as good as she can get it.
As for invites, Rich hates invites. He prefers to delete them.