Supply Our Soldiers Act of 2005 - Directs the United States Postal Service (USPS) and the Secretary of Defense to provide a program under which postal benefits are made available for personal correspondence and other mail matter sent from within the United States by designated representatives (next-of-kin) to members of the Armed Forces who are: (1) serving on active duty abroad in support of military operations or against an enemy of the United States or other hostile force; or (2) hospitalized in a U.S. military facility as a result of disease or injury incurred during service overseas. Limits postal benefits to $150 per calendar quarter, and limits the size and weight of allowable parcels. Allows charitable organizations to apply for such benefits.