Yes, and no.
Computer monitors both have speakers and do not have speakers. If you enjoy computer games or movie playing, it is highly recommended that either a headset or external speaker system be used for the best sound quality. On the other hand, if someone wants to use their monitor as a reading device or uses their ears solely to hear video calls then they will want to turn off the monitor's speakers because often people may need earbuds to provide enough volume for their usage habits. The result is a "yes" and "no" answer for this...