You can follow, star, favourite and comment on things, you get a feed where recent updates on stuff/people you've interacted are listed, you can customise your profile page with snippets about yourself, a photo, a status, contact info and add whatever else you want (including more photos, images, charts etc) in markdown. It now has discussions which are essentially a forum.
It's as much a social network/collaboration tool as it is place to store your code these days.
To the degree that it emphasizes communication between individuals over being a dumb database, yes, a bugtracker can be a social network. Bugzilla is a bit too close to the "database" side of the spectrum, whereas GitHub is at the other end; Jira sits somewhat in the middle.
GitHub is a social networking site that just so happens to have code hosting related features.