Boil the somyeon noodles in boiling water, then rinse them in cold water.
Julienne the cucumber and carrot, and chop the green onion.
Mix soy milk, gochujang, soy sauce, vinegar, sugar, and sesame oil to make the seasoning sauce.
Add the vegetables and seasoning sauce to the noodles and mix well.
Plate the mixed noodles and sprinkle sesame seeds on top.