Yep it's right there on that desk with all the other Enterprise models. Also hilarious that there is a model of the Vengeance on the same desk and we're not supposed to know that till the big reveal later in the movie..
The model is just a shade lighter than the final ship. And a lot of her weapons are pop-out, the model doesn't show all that. You can't really get the full evil vibe off the little version.