Prepare all ingredients by cleaning and chopping the vegetables: broccoli into florets, red bell pepper into strips, carrots into matchsticks, and snap peas trimmed.
Peel and mince the garlic and ginger finely.
Rinse and pat dry the shrimp. If needed, devein them.
Heat sesame oil in a large non-stick skillet or wok over medium-high heat.
Add the minced garlic and ginger, sauté until fragrant for about 30 seconds.
Add the shrimp to the skillet and stir-fry for 2-3 minutes until they turn pink and are nearly cooked through.
Toss in the broccoli, red bell pepper, carrots, and snap peas, and continue stir-frying for another 3-4 minutes until the vegetables are tender-crisp.
Stir in the cooked brown rice and drizzle the low sodium soy sauce over the mixture, ensuring even distribution.
Cook for an additional 1-2 minutes to combine all flavors. Taste and adjust seasoning if necessary.
Transfer to a plate and serve hot.