Is it possilbe to sync the calendar app on my iPHone 4 with a google calendar?
Yes. Settings>Mail, Contacts, Calendar>Add account. Chose Gmail. Complete the setup.
Settings>Mail, Contacts, Calendar>Calendar
BUT Don't forget to Sync All Events. This seemed to fix the syncing of missing items. Kinda found it by looking at all the options. Also remember that Microsoft ActiveSynce (Exchange) is no longer supported for free by Google.
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