Okay, thanks for the prompt response!
Are you looking to push events to Google Calendar or pull events from it?
Event Organiser can push events to Google Calendar for free. It provides a calendar subscription feature that your visitors can use to subscribe to an iCal feed of your events.
If you want to pull events for a Google Calendar, there’s an additional paid plugin that provides this feature:
https://wp-event-organiser.com/extensions/event-organiser-ical-sync/
Oops, I meant to say that my posts now contain a <style> element
