 Her twin sister Mary and elder brother Carlos are both federal judges.On January 1, 2005, Murguía replaced Raul Yzaguirre as the president and CEO of the National Council of La Raza (NCLR), the largest national Hispanic civil rights advocacy organization in the U.S. As President and CEO, Murguía often testifies before Congress about issues affecting the Latino community including education, health care, immigration reform, civil rights and the economy.In her role as a spokesperson for the organization, she is frequently interviewed by various news outlets and has appeared on many news programs.