I feel like I’m looking at a magic eye ( I also haven’t yet been able to ‘’see’’ one of those ) when I see art like that linked here. Is there a trick to appreciating it beyond what I can see?
For an artist like Jean-Michel Basquiat it's especially important to understand it in the context of what it meant for a young black man to create art in an art world that was (and is still) predominately white. Keeping that in mind, take a look at the "Untitled (Rinso)" work that is shown in the article. Rinso was a brand of soap that introduced a blue powder in the 1950s and had advertisements that would say things like "Whiter Washing" with smiling blonde women. You have his infamous crown icon, with "No Suh No Suh" under it. All of these elements can help lead you to see the commentary he's making.
There was a documentary a number of years ago about him called "The Radiant Child", which might be a good place to start.