To continue to receive anything, you will have to have an account. If the box was previously owned by the seller (or whomever provided it to you) and not leased, you can call 1 800 DirecTV to set up an account. As I understand it, owned boxes can be transferred to another user, but the access card cannot. When you call to create your own account, DirecTV will send you a new access card and ask you to mail the access card that is currently in the box back to them.
If the box was a leased box or a box that has been registered as stolen, then whomever provided it to you did not have the right to do so. In that case, when you call DirecTV to activate the box, you will have a problem.
Either way, unless you create an account with DirecTV, you will lose all programing at some point in the near future.