1) Click on the appointment calendar icon as shown below and click on export calendar option.

A > click on Appointment calendar.

B > Export calendar. 

2)    Against the preferred provider's name click on "Copy Calendar URL" and copy the URL shown. 

3) Open Google calendars and click on the Settings option as shown below and click on Settings.

4) Click on "Add Calendar" and then click on "From URL" 

5) Paste the URL and click on "Add Calendar"

All the appointments for the clinic or the provider will be synced with google calendars.