Heat 1 tbsp of vegetable oil in a large wok or skillet over medium-high heat. Add the shrimp and cook for 2-3 minutes until pink. Remove shrimp and set aside.
In the same wok, add the beaten eggs. Scramble for 1-2 minutes until fully cooked, then remove and set aside with the shrimp.
Stir in the chilled cooked rice, breaking up any clumps. Pour in the soy sauce and sesame oil. Toss constantly for 3-4 minutes until the rice is heated through.
Return the cooked shrimp and scrambled eggs to the wok. Add the green onions and toss everything together for 1 minute before serving.