No one said more rights; that they should have all the rights of a single citizen is contentious enough. What if, for example, we grant freedom of speech to this entity, and we take freedom of speech to include the funding of political parties, causes, or candidates? (That's how things are at present in the United States.)
Don’t they? In Burwell v. Hobby Lobby Stores, Inc., 573 U.S. 682 (2014) the Supreme Court did not address and answer whether for-profit corporations are protected by the free exercise of religion clause of the First Amendment of the U.S. Constitution, but the Court did recognize a for-profit corporation’s claim of religious belief (equal to the belief of its owners), sufficient for such a corporation to be exempt from a regulation that it (or its owners) religiously object to, if there is a less restrictive means of furthering the law’s interest, according to the provisions of the Religious Freedom Restoration Act of 1993.