Yesterday Google rolled out a new update to Webmaster Tools and Analytics, an update that lets you monitor the effect of +1 on your traffic and clickthroughs as well as demographics. In your webmaster tools you can easily see the effects of +1 under the search impact report section. You can watch if there has been any influence of the +1 button on your rankings, traffic as well as CTR. You can also see the number of times your pages have been +1'd total, meaning both from your site and the search results and you can also take a peek into your demographics and get to know a bit more about the audience that +1'd your pages.
As for the Google Analytics, you can now setup Social Plugin Tracking that will let you not only track how the users share your content via +1, but also for other large social networks, of course including Facebook and Twitter. This is great if you wish to get into the mind of your audience, as you will be able to see what do people that +1'd your site do, how long they stay, and what are their habits. You can also see how many times your pages have been tweeted, liked, +1'd etc... And you can also identify the highest social sharing pages on your website.
Read more: Google+ + +1 or Google Social and +1 Sharing | Practical SEO
http://www.practicalseo.org/blog/google-plus-1-google-social/#ixzz1QyrWRQjy