In Google Calendar (google.com/calendar) click the red ‘CREATE’ button, and fill in details such as title, date, time, location etc. Note the check box for recurring events which lets you set properties for repeated events.
Now on the left hand side add email addresses for invitees:
When you have entered all invitees addresses click the ‘SAVE’ button on the top right.
A pop-up window will ask if you want to send email invitations (click yes…)
If you click on the event in the Calendar, and click more details in the pop-up window you’ll be able to see invitees responses.