If using wooden skewers, soak them in water for at least 20 minutes to prevent burning.
In a small mixing bowl, whisk together the extra virgin olive oil, minced garlic, chopped parsley, chopped oregano, sea salt, black pepper, and lemon juice to create the marinade.
Prepare the vegetables by cutting the red bell pepper into 1-inch chunks and slicing the zucchini into half-moons.
Place the peeled and deveined shrimp, bell pepper chunks, and zucchini slices into a large bowl and pour the marinade over them, tossing until everything is evenly coated.
Thread the shrimp and vegetables onto the skewers, alternating between the shrimp and the different vegetables.
Heat a grill pan or outdoor grill over medium-high heat and lightly grease with a touch of oil if needed.
Grill the skewers for approximately 2-3 minutes per side, or until the shrimp are pink and opaque and the vegetables have developed light char marks.
While the shrimp is grilling, gently reheat the cooked jasmine rice until steaming.
Serve the hot skewers immediately over the bed of fluffy white rice.