Presence is a tricky word.
One might associate presence with just being present, as in being fully focused on the task at hand. So thought comes to a rest, and one enters a state of flow.
Presence could also be understood from a metaphysical perspective. One might refer to presence as the presence of divinity or pure consciousness. Think moments of deep peace, joy or unity that might arise after prayer, looking at beautiful art or a child being born.
Then there's the presence of meditation or silence. As the mind becomes empty of thought, one remains with what remains, and that which remains is the presence of presence. A conscious silent space that harbors both nothing and everything.
It might seem like presence differs from one situation to the other. So for example, the presence of flow is different from the presence of meditation. But that's not the case, and that's the awe inspiring bit. Presence is presence, always here and now, as is, infinite and eternal. It's our feeling and understanding of it that needs to catch up.
In other words, every moment of being or experience is actually a moment of Presence. Consciousness is a facet of divinity and you reading these words is a miracle. We're just conditioned to think otherwise. Or actually, we're just conditioned to think full stop.
Awakening is basically the removal of conditioning, and understanding that nothing needs to be done or added to our current experience. Things are just perfect as is.
Kerouac put it nicely:
“The world you see is just a movie in your mind. Rocks don't see it. Bless and sit down. Forgive and forget. Practice kindness all day to everybody and you will realize you’re already in heaven now. That’s the story. That’s the message. Nobody understands it, nobody listens, they’re all running around like chickens with heads cut off. I will try to teach it but it will be in vain, s’why I’ll end up in a shack praying and being cool and singing by my wood stove making pancakes.” - Jack Kerouac
And if you think otherwise, well that's the problem, thinking. Presence, which is you before thought, knows nothing but the absolute peace of silence.