At least at first, the sharing tools will only be available for searches that invoke "Instant Answers." The examples given were football scores and airline flights, with other time-sensitive data and scenarios like stock prices, movie times, weather results and more also invoking that type of search.
Underneath the Instant Answer results from your query will be a horizontal "sharing" bar with icons to send those results to friends on Facebook, Twitter, or via email.
The new feature isn't live yet, but will reportedly be going into an invitation-only beta mode soon. To get in on the beta, become a fan of Bing on Facebook for a chance at an invite.
Since search has for so long been a primarily solitary activity, it's almost hard to imagine how and under what circumstances you'd need to share the results quickly with people. Still, having the option would be nice and once available, we can see it becoming one of those features you'd quickly take for granted.