Hi Andrei,
I’m not familiar with BuzzBoost, but it looks like the RSS feed is what you need. This article goes over how the events feed works. If you have any questions on the RSS feed, please let me know.
Regarding embedding the calendar, I suppose you could do this with an iframe. This is a bit outside the scope of the support that we are able to provide here in the forums, but if you have any follow-up questions on this, please don’t hesitate to ask! I’ll be happy to see what I can do to point you in the right direction 🙂