Gregor Mendel, known as the father of genetics, discovered key principles of inheritance through experiments with garden pea plants, including the laws of segregation, independent assortment, and dominance. These laws explain how traits are passed from parents to offspring, introducing concepts such as homozygous and heterozygous alleles, as well as genotype and phenotype. The Punnett square serves as a tool to predict the genetic outcomes of crosses between organisms by illustrating possible allele combinations.