Place whole chicken in Instant Pot breast side up. Then add salt, 1 teaspoon of pepper, and water. Lock lid, close vent, and cook for 30 minutes on high pressure.
Once cook time is complete, allow pressure to release naturally (it will take about 30 minutes).
Then transfer the chicken from the pot to a separate bowl. Be careful because it might fall apart, which is good!
Using a fine mesh strainer or slotted spoon, remove any pieces of chicken that may still be in the broth.
Add lemon juice and rice to the broth, then mix well. Lock lid, close vent, and cook for 4 minutes on low pressure.
Meanwhile - remove all the meat from the bones and tear it into medium-size pieces. Discard all the skin and bones.
Once cook time is complete, carefully do a controlled quick-release of pressure. (If the liquid starts to come out of the vent, close it and wait 15 seconds or so, then open the vent halfway. Sometimes the rice will produce those starchy bubbles.)
Then remove the lid and add chicken and ½ teaspoon black pepper to the pot. Mix well and serve.