It asks the schools to accept the government’s priorities on admissions, women’s sports, free speech, student discipline and college affordability, among other topics.Signing on would give universities priority access to some federal grants, but government money would not be limited solely to those schools, according to a White House official who was not authorized to publicly discuss the plan and spoke on condition of anonymity. Colleges that agree would also have priority access to White House events and discussions with officials. The compact, obtained Thursday by The Associated Press, asks universities to accept the government’s definition of gender and apply it to campus bathrooms, locker rooms and women’s sports teams.