In a Dutch oven or large pot, combine rice with broth, 4 cups of water and salt. Bring to a boil, then cook, stirring constantly, for 10 minutes—this will release the rice’s starches, making it creamier. Reduce heat to a simmer and cook, uncovered, 20 minutes longer, stirring occasionally to keep it from sticking on the bottom.
While the rice is cooking, heat olive oil in a small skillet over medium-high heat. Add the garlic slices and cook until golden brown, stirring occasionally to cook on both sides, 2 minutes or so. Transfer garlic chips to a paper towel-lined plate to drain.
Stir chicken, ginger and fish sauce into the cooking rice. Cook 5 minutes or so, until chicken is cooked through.
Taste lugaw and adjust seasoning with salt, if needed. If it has gotten too thick, add a little water (but don’t overdo—you want creamy, not soupy). Ladle the lugaw into bowls. Top each with fried garlic chips, scallions and a lemon slice, and serve.