Remove the cauliflower’s tough stem and roughly chop the florets. Using a food processor, pulse the cauliflower florets until they resemble rice or couscous. You should end up with about four cups of “cauliflower rice.”
Heat the olive oil in a large (12- to 14-inch diameter) skillet over medium heat. If available, a cast iron pan works well. Add the garlic and the white and light green scallion pieces. Sauté for one minute or until fragrant.
Add the cauliflower to the skillet. Stir to coat with the oil, and then spread in an even layer and let sit; you want it to brown slightly to bring out the sweetness. After a couple of minutes, stir and spread out again.
Add the cold rice and the coconut oil (or more olive oil). Raise the heat to medium-high. Toss everything together and, again, spread the mixture over the pan and gently press down. Let it sit for about two minutes so the rice toasts and gets a little crispy. Add the peas and broccoli and stir again. Drizzle the soy sauce and toasted sesame oil over the rice. Cook for another minute or so and turn off the heat. Add the chopped scallion tops and minced eggs. Toss and serve immediately. Leftovers are delicious, gently reheated, for lunch or dinner over the next several days.