Final answer:
The nurse should stop the blood transfusion immediately and monitor the client for any adverse reactions, as mismatched blood transfusions can lead to life-threatening complications.
Step-by-step explanation:
If a nurse observes that a client with AB positive blood is receiving a transfusion of B negative blood, the recommended action is to stop the blood transfusion immediately. AB positive individuals can receive any ABO blood type in a transfusion (A, B, AB, or O), but given that blood type infusion should always match, this could be an error unless it's been specifically considered safe by a physician or in emergency situations. The mismatch could potentially cause a hemolytic transfusion reaction, which is life-threatening. Monitor the client for any adverse reactions after stopping the infusion is also essential, as signs of a reaction may still occur even if the transfusion is halted promptly. It's important to ensure pretransfusion blood testing is accurate in order to prevent potentially fatal reactions.