From the Non-Duality understanding we can consider three steps to enlightenment. They're not really three steps, of course, but it might help to describe it this way. We can consider there to be an appearance in the human world of three stages of recognition, leading to the full Self-Realisation of our true nature.
First it needs to be recognised that the world is illusory. That means recognising in the mind that the world is not what it appears to be. The world seems to be a multiplicity of forms, and it seems that we are a human form in the world but with a separate discrete identity. This is how it seems, but this is not what it is. Non-Duality teaching points to the recognition that there are not many. We could say there is only One, but it's an Infinite One. There is only the Infinite One.
So the second step after the recognition in the mind that the world is illusory, is for the mind to find out "Who Am I?" I am not illusory. The only thing I can know for sure is that I exist. What I am is another matter. This second step to enlightenment is the turning inwards of the mind, not getting caught up in the illusion of the world, but withdrawing the focus of attention towards where we are experiencing from. We experience the mind with its sense of identity with the body (which we now recognise as illusory), we experience thoughts, feelings, sensations, and perceptions of the world. We experience all this right Here. The second step is recognising this Infinite Oneness of Being as what we are. Some call this God or Infinite Consciousness. It's not enough to know this logically in the mind, because that's just the mind thinking. In this second step the mind is turned inwards towards where the mind is experienced from, the essence of Being.
The third step is in turning back to the world, with the recognition and clarity gained from step two. Effectively the mind is cleared of all erroneous thinking. Reality is perceived clearly without confusion. There comes the recognition that what was dismissed as the illusory world is nothing other than what I am. It's not that the illusion becomes real to us. Rather it is seen that there is only the Real. We are that, and there is nothing other than that. Reality is not a multiplicity. It's a Singularity.