the view is very different... you still have much inroad to make... the Hindu view is that of a solid Higher self or I-amness or a beingness, whereas Buddhism goes further and dissolves even that sense of presence or beingness through insight and/or analysis...
Present thought (or the sense of presentness / presence) still possesses an eternal Witness or atman or Godhead or Subject whichever you call it, but Buddhist view does not admit any solid witness or I. So in present thought, there is still a sense of someone who is thinking, or aware of present thought. In Buddhism, we regard this as formless shamatha, it is still based on dualistic fixation and not yet vipassana/insight meditation, and definitely not yet reaching nondual awareness.
The sense of a witness has to be dissolved in a direct insight usually called non-self / anatta. Then the progression through more and more subtle levels of seemingly non-dual experiences but with an experienced teacher, you will find subtle traces of clinging and effort, which are actually a mark of duality. Then ultimately the realisation of the non-duality of awareness/luminosity/appearances and emptiness.
Many people reach somewhere and think that is full realisation, no more to go... that is a frequent pitfall. Another pitfall is to mistake the byproducts of insight as the insight itself. Bliss, clarity and non-thought are not the realisation. It is simply an experience which will come and go.
I am afraid i may not be doing a good job of describing it. you should have a good teacher to guide you. Liberation can't be done from forums or books. Needs guidance.