You have touched the surface of particularly interesting and important subject.

This transformation is neither sequential nor smooth, rather multiple drafts model exists. It is almost impossible to escape Allegory of the Cave and most would need decades of work and understanding. Watching thoughts with the method explained ( though it is not a method ) without any objective will remove all your previous understanding about unconscious and conscious — you will not notice the boundary. All those are by-products of our misunderstanding.