Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
Many Muslim scholars believe that the reward of Qur'an recitation does not reach the dead people nor those who are alive. But the Hanbali scholars believe that the reward of reading Qur'an as well as the reward of any other act that makes the person nearer to Allah, such a reward if sent to a person - whether alive or dead - reaches them. Al Buhooty said in 'Kashshaf Al Qina'e': 'It is lawful that the Muslim performs any good act (that brings the person nearer to Allah) with the intention that its reward or part of it (that reward) reaches another dead or living Muslim. The latter benefits from this reward.' We believe that this last opinion is the most preponderant on this issue. So, we support it.
Allah knows best.