A person who is said to be homozygous has
Two dominant alleles
Two recessive alleles
Each gene has two alternative forms called alleles of which, one is expressive and is called the dominant allele. The other one is the recessive allele which is not expressive. Heterozygous individuals have one dominant and one recessive allele whereas homozygous individuals would have two alleles of the same type, i.e., either both dominant or both recessive.