Are DSLR Camera Lenses Universal?

I recently purchased a NikonD3200 DSLR and I wanted to get a low-aperture lens (e.g. F/1.4) and I saw that Canon have some pretty good lenses with low apertures. So I was wondering whether a lens such as a Canon one would work on my Nikon or are lenses made only for the cameras of the same brand?

Some lens mounts can be adapted to other brands. The thinner the body, the more options you'll have. This has to do with how far away the rear element of the lens needs to be from the sensor in order for it focus properly. Nikon bodies and lenses require a fairly long distance, so you can't adapt many other brands to it. Canon, on the other hand requires a shorter distance. Therefore, you can adapt a lens with a Nikon mount to fit Canon, but you can't adapt a lens with a Canon mount onto any Nikon.
Sony has the A7 series of mirrorless cameras. Those cameras are very thin allowing them to accept just about any lens ever made with the use of an adapter. Considering that Sony makes the sensors in Nikons and also uses them in their A7, A7R, and A7S bodies, many will choose Sony and use Nikon, Canon, Leica lenses with adapters.

There things like Canon to Nikon adapter but there are just as good lenses from Nikon so I'd suggest just sticking to the brand. It will be much simpler to do so.

There aee so many lenses made by Nikon there's really no reason to consider buying brands that are not made specifically for the Nikon.

You need to spend some time learning the fundamentals of photography as well as the correct usage of terms. A lens with an f/1.4 lens aperture is NOT a low aperture lens. It is called a fast lens. The misunderstanding among most novice photographers is what an f/stop is.

It is a number that reflects apertures fraction of the lenses focal length.

A 50 mm lens with a maximum aperture of 25 mm is a f/2 lens 50/25 = 2. The smaller the lens aperture the higher the number on the dividend of the fraction, or f/16 tells you that the aperuture is 1/16th the focal length of the lens

You saved some money and bought an entry level digital SLR, so you will need to buy Nikkor AF-S lenses if you want to use the auto-focus feature of your camera or you can buy third party lenses which have auto-focus motors in the lens.

So the simple answer to your question is this., No, lenses are NOT universal but made for specific camera brands and models