Hi there,
This would actually be very difficult to pull off because everything in our plugins related to the Month View is geared towards showing one month at a time.
We don’t have any existing examples, and cannot help with code customizations—especially ones of this magnitude—but we do have a Themer’s Guide which covers the basics of building custom front-end templates for The Events Calendar. This might be helpful as a starting point, so I wanted to mention it; it can be found here: https://theeventscalendar.com/knowledgebase/themers-guide/
I hope that guide is helpful! Let me know if there’s anything else I can try to help with.
Thanks,
George