Cook the Noodles: Bring a large pot of water to a boil. Add the noodles and cook according to the package instructions until al dente. Drain and rinse under cold water to stop the cooking process.
Prepare the Ginger Sauce: In a small bowl, whisk together the soy sauce, honey (or maple syrup), rice vinegar, grated ginger, and minced garlic. Set aside.
Sauté the Vegetables: In a large skillet or wok, heat the sesame oil over medium heat. Add the red bell pepper, broccoli, and carrot, sautéing for about 3-4 minutes until they begin to soften. Add the snap peas and continue to cook for another 2 minutes.
Add the Noodles: Carefully add the cooked noodles to the skillet with the sautéed vegetables. Pour the ginger sauce over the top and gently toss everything together to combine and heat through, about 2-3 minutes.
Finish and Serve: Remove from heat and stir in sliced green onions. Divide the noodle bowl into serving dishes, garnishing with sesame seeds and fresh cilantro.