Each user can connect a Google calendar in Shelterluv. When you schedule an event you'll be given the choice to connect a calendar when you select an associated user for the event. See this article here: Setting up Calendar/Scheduling for more detailed instructions on how to set this up.
Each associated user in Shelterluv can only have one Google calendar connected to Shelterluv at a time. You can however have multiple Shelterluv calendars (for each user who connects that Google account) in one Google account.
Note: At the moment there is no way at this time to filter events on a calendar in Shelterluv to view events by type.