In a a saucepan combine rice, butter, garlic, lime zest, 2 teaspoons of lime juice, and broth. Bring to a boil. Cover and cook on low 15-20 minutes, until rice is tender. Remove from heat.
In a small bowl, whisk together lime juice, sugar, and cilantro. Pour over hot cooked rice and mix in as you fluff the rice. Serve warm.