If you have spent much time on Google+, you like many others, have probably noticed that here isn't as much going on there as there is on other social networks. Google is apparently trying to show people that there are visitors to its social network.
It has enabled a view counter on the profile page of the Google+ service. The number of views shows up beside the number of subscribers you have on the profile page, below your picture. The views number is an aggregate amount of views for posts, photos, and the profile page.
The number should prove or disprove the theory of many that they are wasting their time on Google+. I can see some brands or people not wanting the number of times their content has been viewed showing up. Those people can opt to turn off the views counter.