In a large pot, heat the olive oil over medium heat. Add the minced garlic and grated ginger, stirring for about 1 minute until fragrant.
Add the bell peppers, broccoli, snap peas, and carrots to the pot. Sauté for 3-4 minutes until the vegetables are slightly tender.
In a separate bowl, whisk together the soy sauce, honey or maple syrup, rice vinegar, sesame oil, and cornstarch until smooth.
Pour the sauce mixture into the pot with the sautéed vegetables. Stir well to combine.
Add the noodles to the pot, along with 2 cups of water. Stir everything together, making sure the noodles are submerged in the sauce.
Bring the mixture to a boil, then reduce the heat to a simmer. Cover the pot and cook for about 8-10 minutes, or until the noodles are tender and have absorbed most of the sauce, stirring occasionally.
Once the noodles are cooked, taste and adjust seasoning with salt and pepper as needed.
Remove from heat and stir in the chopped green onions and sesame seeds.
Notes
Serve the noodles in wide bowls, garnished with extra green onions and a sprinkle of sesame seeds on top for a vibrant touch.