As you go through the program set up options (Tools, Options menu), make sure to review the "Calendar Tab" as you can conveniently synchronize your Crew Companion calendar with either iCal or Outlook calendars.
At this point Google does not have a capability to connect to external CalDAV servers. As a result, Crew Companion and Google calendar are not able to perform the sync action. However, you can always export your CC calendar to Google. Access the link below for tips on how to export your Crew Companion calendar into the Google calendar.