OK, I'll have a go, but it was quite a busy time (although a very short time), so it will only be crude summary.
It started so hot and dense that the four fundamental forces are thought to have been merged into a single 'super' force and there were no particles to speak of. After a hundred-billionth of a second of incredibly rapid expansion, a quark-gluon plasma formed and the other elementary particles (electrons, muons, tau, & their neutrinos, photons, and W & Z bosons) appeared as a seething mass of particles & anti-particles popping into existence and annihilating again. The superforce broke down into the four fundamental forces and, after about a millionth of a second, and the quarks & gluons calmed down enough to make protons and neutrons and their anti-particles. There was a tiny excess of particles over anti-particles (1 in 30 million), so when things cooled down a bit and the annihilation stopped, mainly matter was left. After about a second, most of the electrons and positrons had also annihilated each other, leaving an excess of electrons.
After a some minutes, a few neutrons & protons combined to make helium and deuterium nuclei, but most protons stayed single (i.e. hydrogen nuclei).
After ~379,000 years(!), things had calmed down enough for electrons to attach to the nuclei and make hydrogen atoms and a trace of helium and deuterium. This also meant light could now travel a significant distance without bumping into free electrons, and the universe became 'transparent' - this is the earliest detectable light and makes up the Cosmic Microwave Background radiation.
Wikipedia has more detail.
'Dark matter' is a label for a phenomenon that makes galaxies and larger cosmological structures behave as if they have more mass around them than can be seen. It could be due to matter we can't see, or an unexpected behaviour of gravity at very large scales. Most focus is currently on looking for the kind of matter that could produce this effect, but there are new ideas and hypotheses being proposed and studied all the time.
'Dark energy' is the name for whatever is causing the expansion of the universe to unexpectedly accelerate. Something seems to be making space itself expand. Again, there are plenty of ideas for what might cause this; the problem is finding ways to test them.