From the Apple Menu at the top-left of your screen, select "System Preferences."



Now select "Internet Accounts."



Click on "Google" at the right.



Login...

You'll now be prompted to log into your G Suite account. Enter you email address and click next.


...and your password....




Select your services.

Generally you'll leave all of these checks unless you have a really good reason not to.


You're all finished! You can close the System Preferences / Internet Accounts window. 


Bonus Tip!


You'll probably want to use Spotlight (the magnifying glass icon at the top right of your screen) or Launchpad (the rocket icon in your Dock) to search for and launch Mail, Contacts and Calendars.



Once these are launched and showing up in your Dock below, you can right click (or control click) or simply click and hold on the icon in the Dock and choose "Options >> Keep In Dock." This will keep the program in your Dock even after its quit.