Are there many glimpses or insights into our true nature?
It depends on the perspective you speak from.
From the perspective of the belief in being a separate individual our True Nature is conceived as glimpses.
From the perspective of what we Truly Are, the individual and its belief in being separate is an experience that comes and goes.
The second perspective is the one to entertain in meditation. The first one is false.
In reality there is only one Glimpse that has any essential meaning in the process. It is the one when it is shown that Awareness or Consciousness Is all there is.
If we keep thinking that I am here and the Glimpse is there we are stuck in an unfavorable frame of mind that supports the sense of separation.
If the Glimpse is powerful enough it will reverse the spiritual perspective.
From then onward it is only a matter of elimination of spiritual nonsense and erroneous thinking about self from the mind, and usually giving the ego some education.