Google’s new social network “Plus,” is so exclusive that people can’t get in, but the search giant is already making it easy to get out — clearly taking a shot at Facebook’s policy of not letting users download their data to use on other sites.

Google’s Data Liberation Front, an internal engineering faction dedicated to letting users export data from Google services, released a tool Tuesday called Google Takeout. The service lets users export their contacts, their Buzz feed, Picasa web photo albums, their Google profile and their “Stream” (the equivalent of Facebook’s newsfeed) in a format read...