I don’t understand your question. Your are questioning about G+ or Google search ? I think you have internet connection is problem or may be you are using a wrong technique.
Yes you can link your google+ account to your websites. When Google displays the results it sometimes displays your Google+ photo next to your link.
I tried it out but from memory the first method recommended by Google wanted to much personal information and the second method had no effect. It is up to Google whether it displays your photo or not.