Sync Gmail to Outlook for Mac
While, G Suite Sync for Microsoft Outlook (GSSMO) isn’t currently supported for Mac. Microsoft Outlook for Mac doesn’t support the Messaging Application Programming Interface (MAPI), which is required for GSSMO to communicate with Outlook.
That being said, here is some encouragement that it will eventually happen but maybe right out of Outlook without the need of GSSMO app: https://9to5mac.com/2017/03/01/outlook-mac-google-calendar-contacts/
At this time, Outlook for Mac 2016 support of Google Calendar and Contacts is only available to Insider Fast participants who have an Office 365 subscription. It will be available to all users worldwide later this year (from May 2017 so we should see it soon)…. See Sync your Google account to the Microsoft Cloud for more information:
To become an Insider, simply open up Outlook, click Help > Check for Updates and then follow the directions found here: https://answers.microsoft.com/en-us/msoffice/forum/msoffice_officeinsider-mso_mac/announcing-office-insider-fast-for-mac-insiders/de603f73-3405-49d4-a6ee-d017773cb8a0
However, There are other ways to sync your calendar and e-mail with Mac: https://support.google.com/a/answer/1366863?hl=en
And for your mobile devices: https://support.google.com/a/users/answer/138740?hl=en