Turn the Instant Pot on to the saute function and wait for it to get hot. Season chicken with 1/4 teaspoon salt and the pepper. Add 1/2 tablespoon oil and the chicken to the pot. Cook, turning frequently, 4 to 5 minutes, or until the chicken is done. Remove from pan.
Heat remaining 1/2 tablespoon oil in pot. Add onion, and saute 4 to 5 minutes or until tender. Add rice, and cook, stirring constantly, until the rice turns opaque, about 2 minutes. Add the wine, scraping the bottom of the Instant Pot to release any browned bits. Stir in chicken broth and remaining 1/4 teaspoon salt.
Cover Instant Pot, and, using manual setting, set to 8 minutes on high pressure, making sure the pressure valve is sealed. When done, quick release the pressure.
Turn the Instant Pot on to the saute function, and stir in the broccoli, and chicken. Cook 3 to 4 minutes or until the broccoli is to desired degree of doneness. (Add additional chicken broth if mixtures gets too thick.) Stir in cheese, and serve immediately.