Heat 2 tablespoons olive oil in a large skillet over medium-high heat.
Add the cubed chicken to the skillet and season with 1 tablespoon taco seasoning and 1 teaspoon lemon pepper.
Cook the chicken, stirring occasionally, until no longer pink and an instant-read thermometer inserted into the thickest pieces reads 165°F (about 8–12 minutes). Remove from heat and set aside.
In a medium pot, combine 1½ cups white rice, 3 cups cold water, 2 tablespoons olive oil, and 1 teaspoon salt; bring to a boil over high heat.
Once boiling, reduce heat to low, cover, and simmer for 15 minutes or until the rice is tender and liquid is absorbed.
Stir in 2 tablespoons lime juice and 1 cup chopped cilantro, let the rice sit for 1 minute, then remove from heat and fluff with a fork.
To assemble each bowl, start with about 3/4 cup of cilantro-lime rice, then add 1/2 cup black beans and a portion of the cooked chicken.
Top with shredded lettuce, pico de gallo (or diced tomatoes), guacamole, and shredded mozzarella cheese.
Repeat assembly to make four bowls total, then serve immediately.