Rinse the Jasmine rice in a fine-mesh sieve under cold water until the water runs clear to remove excess starch.
In a medium saucepan, combine the chicken broth and 1 tablespoon of butter; bring to a boil.
Stir in the rinsed rice, reduce heat to low, cover tightly, and simmer for 15 minutes or until liquid is fully absorbed.
While the rice is cooking, pat the shrimp thoroughly dry with paper towels and season both sides with salt and pepper.
Heat the olive oil in a large skillet over medium-high heat and add the shrimp in a single layer to sear for 2 minutes per side until pink and opaque.
Transfer the seared shrimp to a clean plate and set aside.
Reduce the skillet heat to medium and add the remaining 4 tablespoons of butter, minced garlic, and red pepper flakes to the pan.
Sauté for 60 seconds until the garlic is aromatic and the butter is slightly foamy, ensuring the garlic does not brown too deeply.
Return the shrimp to the skillet and add the lemon juice and half of the chopped parsley; toss to coat the shrimp in the garlic butter sauce for 1 minute.
Remove the rice from heat, fluff with a fork, and stir in the remaining parsley and the chopped chives until evenly distributed.
Divide the herb rice into four serving bowls, top each with equal portions of garlic butter shrimp, and spoon the remaining pan sauce over the top.