If you're curious about Meteor + React, this is a great place to start:

http://info.meteor.com/blog/meteor-the-missing-infrastructur...

The integration isn't totally settled yet, but a lot of work is being put into it at the moment and Meteor is a perfect companion to React, much simpler than implementing your own Flux or Relay backend.

For further info, you can also look here:

http://react-in-meteor.readthedocs.org/en/latest/