Place uncooked, chopped bacon into a 6 quart Instant Pot, then hit SAUTE.
Cook, stirring regularly, until the bacon is crispy, then remove the bacon with a slotted spoon, leaving the bacon grease in the Instant Pot. Set the cooked bacon aside.
Add in onion, carrots, celery, garlic, salt, and pepper and cook, stirring regularly, for 10 minutes.
Hit CANCEL on the Instant Pot, then stir in chicken broth, scrapping up any brown bits that may have stuck to the bottom. This helps to avoid a BURN notice.
Stir in the broccoli florets, then cover and lock the lid. Be sure the pressure valve is pointed toward SEALING.
Cook on HIGH pressure for 0 minutes (yes ZERO minutes, it still takes time for the IP to come to pressure which will cook the broccoli).
When the cook time is up, immediately flip the pressure valve to quick release the pressure.
Hit SAUTE on the IP, then stir in the heavy cream.
Slowly add in the cheese little by little, stirring constantly so the cheese doesn’t stick to the bottom.
Stir in the bacon, taste and re-season, if necessary, then serve and enjoy!