Add olive oil, onion, celery, carrots, chicken, basil, lemon juice, and water to your instant pot's inner pot.
Close instant pot and secure lid
Cook on high pressure for 15 minutes
While the soup is cooking, cook noodles on the stove and drain.
Let pressure naturally release
Remove chicken bones and skin from the soup. Remove the bones and skin using a draining spoon to scoop the bones out.
Add noodles to each bowl as you serve the soup.