Re: my conacts on LG3 are not sync with contacts in gmail.
Are you sure the contacts are being saved to Google? Check a contact's location and confirm that it's not being saved to the device or other service. Also, try creating a contact in Google via a web browser. Does that one appear in your phone?
papka, SpookDroid asked a question. (Only contacts entered as Google accounts, not Phone, Device or SIM contacts, sync to Google. The real question is why Google chose to make Device the default save location.)