Carbon Dioxide Capture Technology Act of 2009 - Amends the Energy Policy Act of 2005 to: (1) direct the Secretary of Energy to establish and award competitive technology financial awards for the development and implementation of technology to capture carbon dioxide from dilute sources; and (2) establish the Carbon Dioxide Capture Technology Advisory Board to advise the Secretary in carrying out duties under this Act. Terminates the Board and all authorities under this Act on December 31, 2020.