""Moore's law" is the observation that, over the history of computing hardware, the number of transistors in a dense integrated circuit has doubled approximately every two years." Wikipedia
en.wikipedia.org/wiki/Moore's_lawSo this is a thing that happened.
So far Moore's Law has proved to be right, or better than right, for every two years of computing. But with the advent of quantum computers, we may see a change in the way we interpret Moore's Law for computing power*.
Moore was (and maybe still is, I couldn't find a source) one of the founding members of Intel, the processor company. He is now a well-known philanthropist in the industry.
Many things are linked to Moore's Law, including the exponential increase in the speed of computers and the relation of relative price in comparison to computing power.
I learnt about Moore's Law properly at university, and I think it's anniversary is an important piece of technological history. Also it's cool when people predict stuff and it actually comes true.
*Quantum computers may also change the way we view Universal Turing Machines, but that's another topic!