No, they are one in the same. When I say Allah or pray to Allah, I am speaking of, and praying to, the one true God found in the Christian Bible, the God of Abraham.
I am Sunni Muslim and have never heard of a "book" of Sunni Shari'ah Law. So not only would you be one of the few that have read it, you would be one of the few who even know it exists. hehe... It certainly doesn't exist in the Muslim world.