Cook the noodles according to package instructions in a large pot of boiling water. Drain and set aside in a colander.
In a mixing bowl, combine the gochujang, soy sauce, sesame oil, minced garlic, and minced ginger. Mix well to form a marinade.
Add the sliced pork to the marinade, and let it sit for 10 minutes to absorb the flavors.
Heat the vegetable oil in a skillet or wok over medium-high heat. Add the marinated pork and cook for about 5-7 minutes, or until browned and cooked through. Remove the pork from the skillet and set aside.
In the same skillet, add the sliced bell peppers and julienned carrots. Stir-fry for about 3-4 minutes, or until they are slightly tender yet still crisp.
Return the cooked pork to the skillet with the vegetables. Add the cooked noodles and stir to combine everything. Season with salt and pepper to taste.
Serve the noodles hot, garnished with sliced green onions and toasted sesame seeds.