Hi Andrew,
Thanks for getting in touch!
You can actually export your events using the free version by heading to Tools > Export from the WordPress admin. Once you’ve exported your data, you can import to the other site from the Tools > Import screen — which requires that you have the WordPress Importer installed.
That said, we do have a service called Event Aggregator that, if activated, will allow you to import your events from one site to another. It’s already built into The Events Calendar — all you need to do is purchase a license, enter it in the Events > Settings > Licenses screen, then head to Events > Import and enter the URL of the site you want to import from.
Does this help answer your question? Please let me know. 🙂
Cheers!
Geoff