All you'll have to do is ask, though the first thing the xenolinguists among you will probably notice that her and vocabulary and pronunciation are just awful. SlashGear also adds that Cortana responds when you refer to her as "Number One" -- Commander Riker can't be too pleased about that one -- as well as when you tell her to beam you up or "set phasers to stun".
The smarts enabling Cortana's new behavior haven't started making the rounds yet outside of the UK yet, but a Microsoft spokesperson confirmed to us those Starfleet commands will work in the US in the coming weeks. In the mean time, there are still other ways to get a feel for Redmond's Trekkie credentials: remember, that Bing's Translator can kinda-sorta tackle textual Klingon too.