You may remember earlier in the year I took issue with the super secret hidden checkbox in the Mountain Lion’s version of Contacts which magically syncs your Google contacts with OSX Contacts and Messages. As it seems, Apple have finally fixed the SSL problem stopping you from syncing through the Google option in System Preference’s Internet Accounts setup.
Getting the sync to work now is as trivial as adding a Google account to your Internet Accounts list, log in and turn on the items you want to sync. 
Hurray! Easy peasy.
It’s beyond me that it wasn’t like this before.
Do you find it actually works though? I added a freshly created Google account (after failing to get my main Google account to sync) to my Internet Accounts list, told it to sync the contacts, and still nada.
Yeah, it really did. Almost instantly too…I cannot explain why you’d be having problems.
didn’t work for me. i checked the contacts box and it still didn’t work
It does take a few minutes to sync. Also I found that while the Contacts application the Messages app hadn’t updated the chat history. It wasn’t until I selected one of the chats which was still listing as a phone number and FaceTime called it (and hung up immediately) that the Messages app listed all the names as expected.
It should also be noted that I am using El Capitan now (this article was written during Mavericks) and it worked for me.
I hope this helps.