In a food processor or blender, add all of the ingredients listed under "for the marinade" and blend until the marinade is smooth.
In a large bowl, add the thinly sliced beef and marinade, then mix. Make sure the meat is well coated. Let it marinate for at least 30 minutes, or longer if possible.
Cook the noodles according to the package instructions. Drain and set aside.
In a large pan or wok, heat 1 tablespoon of olive oil over medium-high heat.
Add the marinated beef and cook until it's fully cooked and slightly caramelized, about 5-7 minutes. Remove from the skillet and set aside.
In the same skillet, add another tablespoon of olive oil.
Stir in the onion, red bell pepper and carrot. Cook for 2-3 minutes until the vegetables are slightly softened.
Add the cooked noodles and bulgogi to the skillet with the sautéed vegetables.
Pour the cooked bulgogi over the noodles and vegetables. Stir to combine.
Garnish the bulgogi noodles with sesame seeds and chopped green onions. Serve immediately.