Hey Dave,
Sorry to disappoint here, but we actually don’t have a shortcode that will add a full-fledged calendar to some other page on your site.
We have a shortcode to add a list of events, for example, but not the whole Month View grid calendar.
However, you could indeed still ensure that the right column is present on these calendar views like the Month View grid and such, but heading to Events > Settings > Display in your wp-admin. There is an option there called “Events Template” – try changing this value to the different templates on your site, and if your site has its templates coded properly, then you should be able to find one that includes the right-sidebar column.
This “Events Template” setting is available in the free version of The Events Calendar, you do not have to buy anything to try this out and see if it will work for you. Download the free version of The Events Calendar here and try the “Events Template” option I mentioned above to see if our plugins will work well on your site before you buy anything → http://wordpress.org/plugins/the-events-calendar
I hope that helps! 🙂
Cheers,
George