It would be an identical but separate person, with an identical but separate consciousness. The only difference would be in their spacetime coordinates as the two people cannot occupy the same point in space & time.
If it was you, Jabba, that was replicated: prior to the replication there would be one Jabba - you.
After the replication there would be two Jabbas. Both would be identical in every particular right down to the molecular level. Both would believe themselves to be the original. Both would have the same feelings, thoughts, memories. Both would be Jabba. Neither of them could look out of the other's eyes, because although they are identical, they are separate.
And prior to the replication, we would know exactly 'who' the copy would be. It would be another, separate, identical Jabba.