Now when you search in Google and you are logged in, you should see a "share" link when you mouse over Google search results. Here is a picture:

This "Share" link only shows up when you hover your mouse over the search result.
This news was first covered by Search Engine Land via a hat tip from @berianreed.
Google's Sean Liu then officially announced it on Google+ saying:
Starting today, we’re rolling out a new experiment to show a Share link in Google search in place of the +1 button, making it easier for you to share a great website with your friends. Now when you click the Share link next to a result, you can add a comment about why you found it useful. You can then choose if you want to share it publicly or just to your Circles and it will post to your Google+ stream, making it easier for you to share directly from the search results page. This will appear for those searching in English.
Prior, Google had +1 buttons in the search results and then after that, they tried thank them buttons in the search results.
I wonder how long this one will last?
Forum discussion at Google+.

Comments:
E_3
07/19/2012 01:09 pm
Certainly more convenient and definitely a more intuitive CTA. I have a feeling this will stick.
Chris Ainsworth
07/19/2012 03:53 pm
Interesting move. Given than many people remain unfamiliar with Google+ they may not understand the purpose of the +1 button therefore ignoring it. I would hazard a guess the use of 'share' is an attempt to drive people unfamiliar with Google+ through to Google+?
Mairaj Pirzada
07/19/2012 04:52 pm
Great, Google is now making the Search engine more better, safer and useful!
Abdelhafid Cherair
07/19/2012 07:38 pm
the +1 button is gone !!! not good .... i think both of'em will make a perfect combination
John Ortiz
07/20/2012 03:28 am
I was disabling/enabling extensions to restore G+ button. But when I searched for 'Share link in Google results'. Personally, I prefer G+ button. :|
John Ortiz
07/20/2012 03:28 am
I am agree, +Abdelhafid Cherair
Linknami
07/20/2012 06:11 am
Why would people +1 or share something they do not know about anyway? People use search engines to find information they are looking for on pages, not on search results. At this stage, a share, +1, like or tweet of search results makes no sense to me. They could have added an 'Email this to someone' link as well 10 years ago. I don't think its the right approach transform their search results pages into a twitter stream.
Mairaj Pirzada
07/20/2012 09:12 am
Never agree your thoughts Abdelhfid, this +1 button makes the search engine more easy and social.. Most of searcher love this feature, while you don't, you've to do what others love. :) And John, first research how it is useful then say anything.
Webstats Art
07/22/2012 06:49 pm
What about a facebook like button? Surely that is relevant?
Boni Satani
07/23/2012 09:28 am
Much better than +1, i expect better user interaction with share button.