Anyway, to answer your question, it is highly unlikely you would ever inhale a bee, because you could only do it through your open mouth, and it would have to enter your trachea without touching any part of your mouth or throat first.
There is a cough and gag reflex which will prevent you inhaling almost anything. The system is very good; it has had millions of years of on-the-job training.
However, I believe your question does not really mean CAN you do it, but what happens if it occurs anyway. The lungs aren't big bags of air, and they collapse as you breath out. Most likely, you will simply cough until the bee is expelled. Coughing is a very powerful method of expelling things from the lungs. It's why you cough!
Would the bee sting your lungs? Possibly, and a wasp might sting you repeatedly if it became lodged in your lungs - before it died. This is unlikely to be any more dangerous than getting stung normally, but your breathing won't be 100% until the swelling subsides.
The cilia are your next line of defense, and they will slowly dislodge many things caught in your lungs. Larger things which get truly stuck (a piece of steak has been recorded) get attacked by the immuno-defense system, and it will try to build a sac around the item, to isolate it from the lungs. In this case, it caused horrendous halitosis for 3 years until surgery removed the encased rotting flesh.
What you do is swallow that spider behind JMEaT's clock. Of course, you'll have to get rid of the spider too so you'll have to borrow roid's cat. I'm NOT even going to bring up how to get rid of the cat.
"One spelling mistake can destroy your life. A Husband sent this to his wife : "I'm having a wonderful time. Wish you were her." - @RobinWilliams