If you are using fresh cauliflower, cut it into florets and place it in a food processor. Pulse until they reach a rice-like consistency. If you are using store-bought cauliflower rice, skip this step.
In a small bowl, combine the soy sauce, sugar, and sesame oil. Set aside.
Heat 1 tablespoon of olive oil in a large skillet over MED-HIGH heat. Add the beaten egg and cook for a minute. Gently scramble with a spatula. Remove from the skillet and set aside.
In the same skillet heat the remaining olive oil. Add the diced onions and carrot. Stir-fry for 2–3 minutes until they start to soften. Stir in the minced garlic and frozen peas. Cook for 1 minute until the garlic is fragrant and the peas are heated through.