Broke meaning he teases that this girl is so unattractive it causes passersby discomfort and it should be illegal for her face to be seen by the general public.
With the next line he is implying that her head is so bald and smooth that it is transparent and one would be able to read her thoughts by merely looking upon it. It is also referencing the social stigma that African American women with little to no hair are unattractive. And in order to find favor with males they must perm,straighten or get a weave.