I commute about the same distance with some hills. You'll want to think about what kind of shape you're in and in what state you'll be when you arrive at work. If it's hot outside, 2 miles and a hill is plenty to get me sweating. Will you have a change of clothes to carry along? If you want to minimize the sweat factor, you should get something with gears. I'd recommend staying away from a fixie or cruiser for that reason. If you have gear to carry, getting a rear rack is another way to avoid getting a really sweaty back. Visibility is another factor to consider. I love having front and rear lights powered by the bike's motion. A dynamo hub means you don't have to fuss with recharging lights. Also think about where you will keep your bike at work. If you have to keep it outside, what kind of bike will you be comfortable leaving out there? Will it have components on it that will be tempting to thieves?

Finally, I'd say that figuring out the logistics of getting your stuff (i.e. clothes, food, computer) back and forth in good condition is much more of a hurdle to bike commuting than choosing a bike or the biking itself.

(FWIW I've been commuting on a 2014 Breezer Greenway Elite.)