Hi, My name is***** can help answer your question. What is your SharePoint version so I can help you?
Thank you. Let me get you the steps.
On the top SharePoint page Ribbon, click on Page, EditClick on the INSERT tab on the Ribbon, then click App PartChange the Add part to area if you have more than 1 area on the page.Choose Calendar from the list and click the Add button on the right side.Click on the Page tab on the Ribbon, and click Save
You can further customize the web part by then clicking on the top bar of the calendar and choose Web Part, Web Part Properties.
Change the view, size, and appearance.
The way it's done is to open the Calendar and link it from SharePoint to your Outlook Calendar. This will use the SharePoint calendar in your Outlook and you can edit it there. Let me know if that is what you meant.
Open the SharePoint page with the Calendar, then click on the Calendar Title.
On the top ribbon, click Calendar, and click Connect to Outlook
This will allow you to link the calendar to outlook and sync it.
The SharePoint calendar is now linked to your Outlook. You will need to add events to that calendar and they will show in SharePoint.
Due to security, having your personal Outlook Calendar requires authentication to "read" the calendar and will not work.