Syncing between iCloud & Google?

my brother got iphone , set icloud on mac. none of calendars moved cloud, though. turns out, think, because calendars google account , not "on mac". uses google calendars , can't give up, there way sync everything? desired effect allow him make change on google, on computer or on phone , have change show in 3 places.

 

you can add google calendar phone. no need sync icloud.

 

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