Recently, Google updated its Google Mobile app for the iPhone/iPod touch. Lifehacker almost instantly pushed out the information to the geeks. However, they failed to mention one small detail.
I tried this when it went out the first time. For some reason, I received notifications in the form of badges for my Gmail e-mail, but nothing for Google Calendar. The answer to that problem is, in fact, very simple.
I switched the calendar feed from Exchange to Gmail itself, which solved the problem. I did that to get colour sync from Google Calendar and the Calendar app on the iPod Touch and I suddenly began receiving push notifications from GCal!