Prepare the ingredients as instructed.
For the cucumber water: Place the cucumber slices in a pitcher with water. Let infuse in the refrigerator. Serve over ice if desired.
Cook the rice according to the directions on the package. Once tender season with salt and pepper.
Prepare cucumber banchan: Toss cucumber with salt and let sit for 5 minutes. Gently squeeze out excess liquid. Toss with vinegar, sesame oil, gochugaru, sesame seeds, and optional sugar or aromatics. Set aside.
Warm the broth: Heat vegetable broth gently in a small saucepan. Keep warm; do not boil.
Cook vegetables: Heat half of the sesame oil in a pan over medium heat. Add garlic and sauté 30 seconds until fragrant. Add carrots, zucchini, and bean sprouts. Stir-fry 4–6 minutes until tender but vibrant. Stir in soy sauce and scallions. Remove from heat.
Cook eggs: In a separate pan, heat remaining sesame oil over medium heat. Fry eggs sunny-side up or over-easy.
Assemble bibimbap: Portion the rice. Top with vegetables, fried egg, kimchi, a spoonful of gochujang optional, cucumber banchan, and sesame seeds if desired.
Serve with vegetable broth, and cucumber water.