Open Outlook
Click on the Calendar icon
Under My Calendars you will see your email address for your calendar. Right-click on your email address and you will see the options below.
You can choose to Share Calendar
It will bring up an email box where you can type the person’s name in the To: dialog box or click on the To: to search the directory. You need to have a check in the box beside Allow recipient to view your calendar. You can click the drop down beside details and choose what you want them to see on your calendar. When finished you can click Send to notify the person you are sharing your calendar with them.
If you want to adjust any rights you have given to a person or just want to add a person manually, you can choose Calendar Permissions either from the toolbar in your calendar or from right clicking on your email address again under My Calendars.
At the Calendar Properties dialog box, click on the Add button
In the Search box you can start typing the person’s name and when it appears, highlight the name and click the Add button. Then click the OK button.
Now you will see that person’s name in your list. You can highlight the name by clicking on it once and choose the specific permissions that you want. When finished, click on Apply then Ok.
The person you gave rights to can now add your calendar to their list of calendars. Directions on how to do that are in the helpdesk articles here Windows or Mac.