America Realizing the Informational Skills and Initiative of New Graduates Act of 2010 or America RISING Act of 2010 - Directs the Secretary of Labor to establish a program of grants to: (1) eligible small business employers to defray the cost of compensation they pay to recent graduates from institutions of higher education; and (2) such graduates to enable them to defray the cost of undertaking further education for up to 24 months in subjects relating to mathematics, science, engineering, or technology.