In any population of organisms, there will be genetic variation. Every snowshoe hare will be slightly different from others. Mutations constantly take place in a population and many are harmful. However in some cases, a mutation can lead to a new, advantageous allele. For example, a mutation that allows a hare to have better hearing, this would allow them to detect predators. This means the hare is more likely to survive and reproduce (the hare without the advantageous allele is more likely to be killed by the predator).
When the hare with the advantageous allele reproduces, the allele will be passed onto their offspring and the offspring is more likely to survive and reproduce. Over time the advantageous allele will become widespread over the population (increasing the gene pool) and natural selection can lead to the development of new species.