So it looks like my assertions, using Enzyme, on expect are not setup. Upon reading the Enzyme docs further my setup is only using the Adapter allowing for easier rendering/mounting of components. I do not have the ability to use the Enzyme assertions from the docs because they are not installed. Rather to answer this particular problem I have to use the Jest assertions.
describe('<Typography />', () => {
it('renders h1', () => {
const wrapper = mount(<Typography variant="h1" />);
const elem = wrapper.find('h1');
expect(elem.length).toBe(1);
});
});