The privileged daughter of a prominent city doctor, and her boyfriend — a Harvard grad and Occupy Wall Street activist — have been busted for allegedly having a cache of weapons and a bombmaking explosive in their Greenwich Village apartment. Morgan Gliedman — who is nine-months pregnant — and her baby daddy, Aaron Greene, 31, also had instructions on making bombs, including a stack of papers with a cover sheet titled, “The Terrorist Encyclopedia,’’ sources told The Post yesterday. People who know Greene say his political views are “extreme,” the sources said.