I find that difficult to believe, considering how hard the folks doing this movie seem to be trying to copy current trends (which is really going to date it, going forward, I'm afraid).My guess is that the computer won't talk at all during the movie.
Seriously... you've used a GPS, haven't you? Our computers and technology talks to us all the time. So I'd be stunned if they decided to deviate from both established Trek "style" and contemporary technological trends.
If the computer has a voice, it will probably sound a lot like the voice that your GPS talks to you with. Something bland and colorless, but not "robotic" like the stuff we got in TOS or TNG.
Unless you have voices like this on your GPS http://www.pigtones.com/