Google+ Product Management Director Dennis Troper posted on Google+ that the company has made it easier for you to link your site to your Google+ Page.
"When you link your website to your Google+ page, your recent posts can appear in lots of relevant places across Google," he says. "For example: when users search for your brand, an excerpt from a recent Google+ post may appear to the right of search results."
Troper instructs page owners to visit their page, edit their profile, and click a new button called "Link Website" on the About tab, when you save your site URL. From there, you'll be instructed to add some code to your site's homepage. Then, click "Test Website".
The following screen caps show the process, and how your site will appear in search results:
Here's what the search results page would look like:
Note that if you set it up right, you'll get a confirmation message, and according to Troper, the link will be active within a day or two.
If your'e still trying to figure out Google+, Google put out a twenty-minute video this week going over the basics, including its relationship with search. More on that here.