Web TimeSheet currently does not have the feature to sync the Time Off calendar however, make use of Export to Outlook feature on the Time Off calendar page. The (.ics) file generated on the outlook export can be imported to Google Calendar.

Note: Any new changes to the approved time off bookings later, does not reflect in the Google Calendar. If there are any new changes to the approved time off bookings in Web TimeSheet, then perform another export from the Time Off calendar into Google Calendar to update the changes on it.