Whether you use the Google version of your calendar or not, this enables you to create an iCalendar feed and sync to your rentals listings. By using Google as a connector, your venue calendar can automatically be synced to your rentals listing. Once you've set things up you don't ever need to manage the Google calendar. There are some sync limitations from MindBody please pay attention to the options they provide.
MindBody offers a free Google Calendar Integration that enables you to sync your MindBody calendars to Google.