A lot of good points have been made here, but to the original questions, two points. The F-stop might be equal if you set them both high enough, but your zoom is not going to give you the fast aperture range of the 50mm prime (dof and low light performance as referenced above). Secondly even if you are shooting with the aperture equal, a well built prime will in nearly every case be sharper than a well built zoom, yes there some amazing zooms on the market, but only the very top few from each manufacturer come close to the sharpness of a decent prime.
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Additionally one of the things that has made the nifty fifty the go to lens for so many people for so long is 50mm on a full frame camera, or 35mm on a crop sensor is essentially distortion free. No significant wide angle distortion or telephoto compression, so when you take a photo at that field of view it tends to just look right to people, and for that reason until the recent era of cheap zoom kit lenses, nearly everyone started shooting with a 50mm prime.
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For all new photographers, especially people who have only dealt with their kit lens, even an upgraded kit lens, I always recommend picking up a nifty fifty, or 35mm, to get a feel for shooting with a truly sharp and fast lens, trust me it will be a different expereince than your 18-135. (I realize canon doesn't make a cheap 35mm option, so my comments about distortion will be a bit off, you will be closer to 85mm on a crop sensor canon, which will give you a bit of telephoto compression and it will act more like a portrait lens). You shouldn't be out more than $200, which it why it's considered pretty much the best investment you can make early on.