Add the cilantro, peppers, garlic, and olive oil to a small blender or food processor. Season with about a 3/4 teaspoon of kosher salt, adding more to taste, it'll need a lot of salt. Process until you get a thick, chunky sauce.
Bring a large pot of water to a boil and salt it generously. Add the pasta and cook for 7-8 minutes, or until your particular pasta is al dente. Reserve 1 cup of pasta water before draining.
In a large, high-sided pan, add a drizzle of olive oil and the peas. Cook, stirring occasionally, for 4-5 minutes or until the peas are cooked through. Add in the cilantro sauce and stir to combine.
Add the pasta to the pan with a splash of pasta water. Stir vigorously to coat the pasta in the sauce.
Squeeze the lemon juice over the pasta, stirring to combine. Taste and season with more lemon juice, salt and pepper as desired.
To serve, portion the pasta into bowls and add an egg yolk to each one. Puncture and mix in the egg yolk for an extra richness, it's optional, but really delicious.