Peace Mercy And Blessing Of Allah be upon all of us.
Whenever the Quranic recitation is going on, we are commanded to keep quiet and listen to the recitation. You also get the same sawaab as the man reciting the Qur'an.
When the Qur’an is read, listen to it with attention and hold your peace; so that you may receive Mercy. And (O reader!) bring your Lord in remembrance in your very soul with humility, and recite without loudness in words, in the mornings and evenings; and do not be of those who are heedless. (7:204, 205)