Reason.com—The case is N.Y. State Rifle & Pistol Ass'n v. Corlett; you can read the petition and the other briefs here. The question presented is: Whether the State's denial of petitioners' applications for concealed-carry licenses for self-defense violated the Second Amendment. The brief is from Paul Clement, a former U.S. Solicitor General, who will presumably also argue the case.
Supreme Court to Decide Whether Second Amendment Protects Concealed Carry of Firearms. The Supreme Court announced Monday that it will decide a core gun rights issue: Whether the Second Amendment requires states to give permits to law-abiding citizens to carry concealed weapons.