In large saucepan, bring 2 cups salted water to boil. Add rice and cover. Reduce heat to low and cook until rice is tender (according to product directions).
In small bowl, stir together soy sauce, lemon juice, vinegar and sugar until sugar is dissolved. Set sauce aside. When rice has finished cooking, heat oil in large skillet over medium- high. Add shrimp, snow peas, and ginger. Season with salt and pepper. Cook until shrimp are opaque throughout and snow peas are bright green (3 minutes).
Divide rice into individual bowls. Top with shrimp mixture and avocado. Serve sauce on the side.