Place the shrimp in a medium bowl.
Season with salt, pepper, and cornstarch. Toss to coat evenly and let rest for 10 minutes.
Heat a large wok or skillet over high heat until very hot.
Add 1 tablespoon oil and swirl to coat the pan.
Arrange the shrimp in a single layer and cook for 30 seconds without moving.
Flip and cook for another 30 seconds until mostly cooked through.
Transfer shrimp to a bowl using a slotted spoon.
Reduce heat to medium and add a little oil if needed.
Pour in the beaten eggs and gently scramble.
When the eggs are still slightly soft, transfer them to the bowl with the shrimp.
Return the pan to high heat and add the remaining oil.
Add the green onions and cook for 30 seconds until fragrant.
Stir in the rice, breaking apart any clumps.
Cook for 2 to 3 minutes, stirring frequently.
Add the peas and carrots and stir until heated through.
Return the shrimp and eggs to the pan.
Drizzle in the soy sauce and sesame oil.
Toss everything together until evenly coated and heated through.
Taste and adjust seasoning with additional soy sauce if desired.
Serve immediately and enjoy your homemade Shrimp Fried Rice.