Heat sesame oil in a large skillet or wok over medium-high heat.
Add minced garlic and sauté until fragrant, about 30 seconds.
Add shrimp to the pan and cook until pink and cooked through, approximately 3-4 minutes.
Push the shrimp to one side and pour in the beaten eggs on the other side.
Scramble the eggs until just set, then mix them with the shrimp.
Add mixed vegetables to the pan and stir-fry for about 2-3 minutes.
Add the cooked rice to the mixture, breaking up any clumps.
Pour in the soy sauce and mix well, seasoning with salt and pepper.
Remove from heat and stir in sliced green onions.