First, the whole
Listen once without trying to analyze. Notice the feeling or movement that remains after the piece ends.
Hear what happens between the obvious moments.
Bring these prompts to music you already have access to.
Then, the details
On another listen, follow one element: the rhythm, a voice, a recurring sound, or a change in intensity.
Finally, the space
Notice silence, pauses, and the places where fewer sounds allow one detail to become clearer.