Google now tells you how many people have viewed your Google+ profile and content right on your profile page. The number is the sum of your profile, post and photo views since October 2012.
Eddie Kessler posted about the update on Google+ (via TechCrunch):
Google talks about the feature more here.
Other people can see your view count unless you hide it. To do so, go to Google+, click Home, then Settings, then Profile. Simply check or uncheck the box to the left of "Show how many times your profile and content have been viewed". You'll have to do so from the desktop, as this setting is not supported by mobile yet.
Image via Google+