OK Thanks. I was adding it at 'People' in the Phonebook. I can't see how to add it as a Gmail contact on the phone. But I understand now that a contact added in Gmail on thr computer gets added to the phonebook on the phone, but not the other way.
When you create a new contact under the People application, scroll all the way to the top of the dialog. There will be an option for where to save the contact. Choose the Gmail address if not already selected.
Once it is saved you can't change it.
I'm most definitely NOT a VZW employee. If a post answered your question, please mark it as the answer.