Till now Chrome able to sync your installed apps, bookmarks, extensions, preferences, passwords, themes, settings across different devices and Computers with your Google account being connected to Chrome, beta version released today syncs open tabs across devices. Means tabs open on your Computer are accessible on all other devices, supposing that you’re already signed-in to Chrome with your Google account and chosen “Sync Everything” option which includes the “open tabs” also on all devices.
Chrome 19 Beta Syncs your open tabs across other devices
You need to click “Other devices” menu at the bottom of the New Tab Page to view tabs open on other devices. This beta lets you access open tabs back and forward navigation history also.
You can download Chrome Beta from here, and to test this feature you need to sign into Chrome with your Google account.
Source: Chrome blog