Is there a way I can track how many times a Google+ post has been viewed, similar to the views on a SE question?
No. While I'm sure Google is tracking the information, it's not shown anywhere on the site.
Google+ has a tool called Google+ Ripples that will show you the public shares of any public post or URL on Google+. You can learn more about it here: https://support.google.com/plus/answer/1713320?hl=en
I am not sure about tracking the posts views of Google plus, but here is a site which tracks popular posts of Google+:
The only way to track views of a Google+ Post that I'm aware of at this time is by using an image as a workaround. If you include an image in the post, you'll be able to view statistics on that image which include Views.
protected by Community♦ Jul 22 '17 at 1:59
Thank you for your interest in this question.
Because it has attracted low-quality or spam answers that had to be removed, posting an answer now requires 10 reputation on this site (the association bonus does not count).
Would you like to answer one of these unanswered questions instead?