The correct answer to this open question is the following.
An effect of the Great Society programs on Native Americans was that President Lyndon B. Jhonson signed the Indian Civil Rights Act in 1968. This act granted Indians in America equal protection of the law.
Since Johnson took the office as the 36th President of the United States, he assumed the commitment to help the Native American Tribes. He considered that Indians should be one of the vulnerable groups that needed help. In January 1964, he addressed the National Congress of American Indians. So the Indian tribes were part of his "War on Poverty" program.