For your customers
Every booking confirmation includes add-to-calendar links, so the appointment lands in whatever calendar the customer uses — Google, Apple or Outlook.
For you
OperMae does not connect to your personal calendar. There is no two-way sync, and no calendar feed or file of your own schedule to import. Schedule → Calendar in OperMae is the record of what is booked.
Keeping your own commitments out of the way
Busy time in a personal calendar does not affect what customers can book. Block that time in OperMae under Schedule → Calendar → Block time so nobody books over it.
If you want your day on your phone
Open Schedule → Calendar and use the day view — it is built for a phone screen.