This is a Phase II, open-label, single institution trial of treatment with single agent erlotinib. The purpose of the research is to determine the effects erlotinib has on the breast cancer tumors in women with metastatic hormone receptor negative and HER2-negative breast cancer. The Federal Drug Administration (FDA) has approved erlotinib, also known as Tarceva, for the treatment of locally advanced and metastatic non-small cell lung cancer.