Does show details of my calendar on my booking page? adds customer bookings straight into your Google or Outlook calendar.  You integrate your calendar with your account, and then you add settings on top that let you decide exactly how your availability is displayed.

No one will ever see details of any actual events that are in your calendar, or anyone else who has booked with you.  On your online booking page you share with customers, the only thing visitors will see is whether you are free or busy. It will look something like this, with busy times greyed out, and available times clickable.