When purchasing a new computer screen, one of the major decision points is whether to get a glossy or matte screen, assuming both are of high quality (i.e. IPS). Both have their pros and cons, which I'll detail below.
Pros: Glossy screens have a sexier look to them. Colors appear brighter, and the display is very sharp, especially in the Apple iMacs and Apple Cinema Displays.
Cons: The glare is the most distracting thing about a glossy screen. If your main light source is behind the screen, it can mitigate the glare, but if the main light source is in front of the screen or behind you, forget it. Given the mentioned positives, the glare seems to be the deciding factor for most go who matte instead of glossy. Also, it's difficult to color calibrate a glossy screen... it can be done, but you're much safer doing color editing on matte.
Pros: Little to no glare, and a matte screen is the professional industry standard for all serious photo/video editing.
Cons: Looks plain and not as flashy as the glossy screen. The glossy screen, especially in the new Apple displays, looks and feels high quality with the glass front. The matte looks more dull.
It just depends on what you value. If you can stand the glare (or minimize it to be bearable), and you don't do much color editing work in your photos and videos, glossy could work for you. However, if you're a professional who needs a high-quality monitor, then matte is the best option.