Fry the garlic. Set the Instant Pot to Sauté and heat the cooking oil. Add the chopped garlic and fry until golden and crispy. Remove with a slotted spoon and set aside for serving.
Sauté the ginger. Add the sliced ginger to the remaining oil and sauté for 1–2 minutes, until fragrant.
Add the onions. Add the chopped onions and sauté for 2–3 minutes, until softened and translucent.
Brown the chicken. Add the chicken pieces and cook for a few minutes, turning occasionally, until lightly browned.
Season. Add fish sauce and cook for 30 seconds to 1 minute, stirring to coat the chicken.
Add the rice. Stir in the jasmine rice and glutinous rice until combined.
Add the water. Pour in 6 cups water and add the chicken bouillon cubes. Stir well, scraping the bottom of the pot to loosen any browned bits.
Pressure cook. Cancel Sauté and secure the lid. Set the valve to Sealing and cook on High Pressure for 20 minutes.
Release the pressure. Allow the pressure to naturally release for 10–15 minutes, then carefully release any remaining pressure. Open the lid once the pressure pin has completely dropped.
Adjust the consistency. Stir the lugaw well. If it's thicker than you like, gradually stir in hot water until it reaches your preferred consistency.
Season to taste. Add more fish sauce and ground black pepper as needed.
Serve. Ladle into bowls and top with hard-boiled eggs, chopped green onions, and the reserved crispy garlic. Serve hot with calamansi and extra fish sauce on the side.