Some of this has already been posted by others, but a brief primer on dark matter:
First of all, dark matter is any matter which doesn’t emit light. This, in itself, is not too mysterious: You and I are both examples of dark matter. However, we can measure the total amount of matter in a galaxy or the Universe by its gravitational effects, and based on the relative abundances of various isotopes of hydrogen, helium, and lithium (all of which were formed in the Big Bang), we can calculate about how much of that matter should be ordinary (or baryonic) matter. When we compare the two numbers, we find that there’s about ten times as much matter in the Universe as can be accounted for by baryonic matter. We don’t see any non-baryonic matter in the Universe, so whatever the rest of it is, it must be dark. Not all dark matter is weird, since we know that some normal matter is dark, too (again, like you and I), but most of the dark matter must be the weird stuff. Dark matter is loosely classified as “hot” and “cold”, which reflects how fast the particles are moving: Hot dark matter particles would travel at the speed of light, or close to it, while cold dark matter particles would be much slower. Current observations suggest that most of the dark matter is cold.
In addition to the dark matter, there’s also dark energy, which is even weirder and less well-understood. In some sense, dark energy (also called cosmological constant, quintessence, or a few other names) counts towards the total amount of “stuff” in the Universe; in fact, it appears to make up about 70% of all the “stuff” there is. Dark energy is not believed to form any sort of structures at all, but is instead believed to pervade all of space uniformly. The only reason it’s not apparent in our laboratories is that we have so incredibly much normal matter here, compared to the average in the Universe as a whole. The main difference between dark energy and matter (normal or dark) is its pressure. Gravity is produced by both energy density (most familiar to us as mass) and by pressure, but for most “stuff” (normal matter and cold dark matter), the contribution of pressure is much, much smaller than that of density. For radiation, such as light or hot dark matter, the contribution from energy density is about the same sixe as that from pressure, but both are positive, so they add up. But for dark energy, not only is the pressure significant, but it’s also negative, so the negative gravitational contribution from the pressure is actually greater than the positive gravitational contribution from the density, so dark energy produces a sort of anti-gravity.