Similarity with Facebook Like button is both of them show friends that recommended your post. But while Facebook Like only shows them under the button in your blog post, Google +1 also shows them under your post in Google SERP (search engine results pages).
So if your friend love your content then click +1 on your post, then the +1 buttons will shows on Google search to let people know their friend recommend it.
This +1's can help friends, contacts, and others on the web find the best stuff when they search.
Google +1 will also shows in your Google+ (Google Plus) profile page. In order to show your +1's tab to the world, or keep it private you can easy set this up from +1 tab on your Google profile. Once you click +1 in any website your +1's stored in your Google profile and you can use it to manage the ever-expanding record of things you love around the web.
For more information about the +1 button, you can watch this short video: