Cook the pasta in a large pot of salted boiling water until al dente, approximately 8-10 minutes. Drain and toss with the pesto in a large bowl. Cool to room temperature.
Brush the shrimp with olive oil and season with salt and pepper. Grill the shrimp until bright pink and cooked through, approximately 3-5 minutes.
Toss the pasta with the peas, pine nuts, salt and pepper. Top with grilled shrimp and serve immediately.
This dish can be served warm or at room temperature.