Combine chicken, 1 tablespoon olive oil, 1 teaspoon italian seasoning, garlic, 1/4 teaspoon salt and 1/2 teaspoon black pepper and toss to coat.
Assemble 8 skewers by alternating two pieces chicken and two grape tomatoes, leaving room on both ends for mozzarella balls after grilling.
Prepare a grill, or heat a grill pan over medium heat.
Place skewers on grill grate or pan, being careful not to overcrowd, for 5 minutes. Cover the grill, or the grill pan. Flip the chicken, and continue to cook uncovered for an additional 3 minutes, or until chicken has cooked through and reached 165º and let cool briefly.
Combine remaining 1/4 cup olive oil, broccoli, basil, lemon juice and zest and 1/4 teaspoon salt in a high-speed blender and blend until completely combined. Taste and adjust seasoning as desired.
Meanwhile, cook 16 ounce bag cauli-rice: heat a large skillet over medium heat and add 2 tablespoons broccoli pesto and add cauli-rice and cook for 3-5 minutes until hot.
Once skewers are cool enough to handle, place mozzarella balls on each end.
Divide caulirice and skewers in 4 Ello meal prep containers and top with broccoli pesto, or place in small container.