I think they will ship to your residence:
MILITARY SURPLUS RIFLE ORDER FORM CHECKLIST Go to Order Form MILITARY SURPLUS RIFLE ORDERING INSTRUCTIONS TO PURCHASE MILITARY SURPLUS RIFLES FROM THE CMP, A PURCHASER MUST PROVIDE PROOF OF: (NOTE: The CMP 1911 is separate, and you must submit these documents with the Surplus Rifle program.)...
thecmp.org
I read a thread on Calguns that according to California state law, firearms must be shipped to an FFL. They also have a waiting period. But a poster on the same thread said that CMP ignores the state law. Pretty funny.