Weyl semimetals lie at the intersection of strongly correlated materials and materials with nontrivial spin-orbit coupling. These topological materials have attracted a lot of interest in the last several years because of their wide variety of novel properties and resulting potential applications. In this talk, I will begin by presenting a brief overview of the unique band structure and topology of these materials. Then I will go on to examine a couple of their nonlinear optical properties and highlight past and proposed experiments to further explore this novel state of matter.