This is a riff on something that I found in the BuzzFeed Clean Eating Challenge, but it has bread, so it's infinitely better.
First, get your broccolini ready. For one serving I used about half a bunch. Wash it, chop off the ends, and peel the woody part of the stem off. I just use a small paring knife. Then, get your egg ready. Crack it into a small bowl or ramekin. Start boiling water in a small saucepan. Add a dash of white vinegar. This will keep the egg from feathering.
While the water is boiling, start sauteing your broccolini. Use a little olive oil, salt, pepper, and garlic, if you like garlic. Alternatively, you can put in a small amount (quarter-cup) of water in the pan, cover it, and sort of steam the broccolini, and then saute. This will make the broccolini taste less raw, which I prefer. While this is happening, toast your bread. I used a challah roll. You can either do open-faced or a sandwich. I prefer the sandwich, since it keeps everything contained.
When the water just starts to form bubbles, you are ready to poach the egg. I like Alton Brown's method. Stir the water to form a whirlpool, and then gently slide the egg from the ramekin into it. Turn off the stove, cover the pot, set a timer for five minutes, and go do something else.
When all the constituent parts are ready, assemble into a sandwich. Eat.