The core question of the Hobby Lobby case is whether Hobby Lobby, a privately held for-profit corporation, can refuse to cover certain but not all types of contraceptives mandated by the 2010 Patient Protection and Affordable Care Act (PPACA or ACA or colloquolly Obamacare) on the ground of religious objection. Charged with implementing PPACA, the Department of Health and Human Services (DHHS), in its regulations, had afforded such exemptions and accommodations to religious institutions but not to for-profit corporations. Other than a claim on the First Amendment's Free Exercise clause, Hobby Lobby had also raised a claim on a 1993 federal statue - Religious Freedom Restoration Act (RFRA). The federal government has maintained that affording the same exemptions and accommodations to for-profit corporations on their religious claims would render PPACA into piece meals and inoperable.
Decision: Burwell v. Hobby Lobby Stores, Inc.
Supreme Court Oral Argument Audio
Supreme Court Oral Argument Transcript
Merit and Amicus Briefs at ABA
Some other interesting cases of the 2013 term of the Supreme Court:
NLRB v. Noel Canning (Separation of Powers)
Riley v. California (Search and Seizure, Privacy)
McCutcheon v. Federal Election Comm’n (Campaign Contribution)