I\'m wanting to integrate G+ Sign In (as per https://developers.google.com/+/mobile/ios/sign-in) in a React Native app. I have Facebook Sign In working via http://brentvatne.ca/
So this is only semi-related to React Native, since your main issue seems to be writing the Obj-C side of the G+ sign in. To that end, grab the iOS Quick Start app for Google Plus:
https://developers.google.com/+/quickstart/ios
Follow the instructions to open the sample project and you'll find the SignInViewController.m file which contains this line:
@interface SignInViewController ()
That appears to be what you're after.
Once you have that working, you'll need to implement the connection to React Native. The Facebook post you linked to shows how to do that, but the official documentation is here:
http://facebook.github.io/react-native/docs/nativemodulesios.html#content
I also wrote a post to show the simplest Native Module I could think of, which I think describes the general concept pretty well:
http://colinramsay.co.uk/2015/03/27/react-native-simple-native-module.html