Hi Eivind
Due to the constraints of iCal, the synchronizing is only 1 way at this time. When you make a change in the Google Calendar source that imports to Event Aggregator, it will be reflected on your site if your settings allow (Events » Settings » Imports » Event Update Authority).
However, you can import the calendar to Google. From the main Events Calendar page, look in the bottom right corner for +Export Events. You can see this button on our demo site: http://wpshindig.com/events/. That .ics file can be imported to many calendar types, and will remain consistent with events published on your site.
It is not truly synching the way you might envision it, but it is a working solution.
Is there anything else I can help you with?
Thanks
Courtney 🙂