The human gene pool is the combination of all the versions of all the genes we possess. There are 25,000-30,000 individual genes; and at each location where a gene resides, there are two versions of that gene, known as alleles. The gene pool increases every time there's a genetic mutation and that new mutation survives to the next generation. The gene pool diminishes when an allele is lost, or dies out.
Let's break this down still further.
Take a chromosome, let's say chromosome three. Each gene sits at a particular location on that chromosome, called a locus. So a gene at a particular locus on chromosome three will be there in two different versions - alleles. Those alleles may be the same - homozygous - or they may be different - heterozygous. Now let's zoom out to the whole human population and there may be dozens of different alleles that occupy this particular location on chromosome three. The human gene pool is therefore the sum total of all the alleles at all the chromosomal locations, or loci. The bigger the gene pool, the greater the genetic diversity.