Click "+ Add" at the top of the sidebar and select "Event", or press Ctrl + Enter (Cmd + Return on a Mac) and click "Event" at the bottom left of the form.
Choose the calendar the event goes on. Guests work on events.
Find "Guests" on the left side of the form, under the description.
Click "Add guests by email" and type a guest's email address.
Click "Add".
Repeat for each guest.
Click "Create Event", or press Ctrl + S (Cmd + S on a Mac).
Everyone you invite gets an email invite asking whether they will attend.
Guests on Existing Events
Click the event on your Calendar or Tasks page.
Look at "Guests" to see everyone who is invited.
If you own the event, click "Add guests by email" under "Guests", type the email address, and click "Add".
Click "Update Event", or press Ctrl + S (Cmd + S on a Mac).
The person you added gets an invite email when you save.