Chrome 19 syncs tasks among registered devices. Required is - as usual - to register that device with your google account. I always failed to see why this is a specific handy feature. But since I'm using the beta of chrome mobile this is actually a pretty handy feature if you're leaving home or the office and want to continue reading within your tab chaos.
You just don't get 'open tabs' from another machine. You actually get a list of machines and their open tabs. So you can pull tabs specifically from various machines. IMO a much better feature than just sync'ing them.