Is it proven that Allah, may He be exalted, and His Messengers will recite the Qur’an to the people of Paradise in Paradise?

Firstly: 

There is no proven hadeeth which says that
the Most Merciful, may He be glorified and exalted, will recite the Qur’an
to His slaves in Paradise. Such things are matters of the unseen which it is
not permissible to affirm or deny without a saheeh (sound) report to that
effect. 

The scholars of the Standing Committee were
asked: 

Is it true that we will hear our Lord
reciting Soorat ar-Rahmaan to us in Paradise – in sha Allah? 

They replied: That is not true as far as we
know. 

End quote from Fataawa al-Lajnah
ad-Daa’imah (4/318). 

Please see also the answer to question no.
199303

Secondly: 

With regard to the Prophets (peace be upon
them) reciting the Qur’an in Paradise, we do not know of any report that
speaks of that. That is also one of the matters of the unseen which we must
refrain from discussing. 

Some of the scholars mentioned that the
Prophet of Allah Dawood (peace be upon him) will recite the Qur’an with the
believers in Paradise, but we do not know of any saheeh hadeeth from the
Prophet (blessings and peace of Allah be upon him) to confirm that.

Please see the section Samaa‘ Ahl
al-Jannah, in the book Haadi al-Arwaah ila Bilaad al-Afraah by
Ibn al-Qayyim (1/543-555 – ‘Aalam al-Fawaa’id edition). 

The same applies to the recitation of the
believers in Paradise: there is no text that states that. However there may
be some corroborating evidence in the general apparent meaning of some
hadeeths that have been proven from the Prophet (blessings and peace of
Allah be upon him). 

Among the hadeeths that are saheeh but do
not clearly state it is the hadeeth narrated by Imam Ahmad (25182) and
an-Nasaa’i in as-Sunan al-Kubra (8176) from ‘Aa’ishah who said: The
Messenger of Allah (blessings and peace of Allah be upon him) said: “I slept
and I dreamt that I was in Paradise, and I heard the voice of someone
reciting. I said: ‘Who is this?’ They said: ‘This is Haarithah ibn
an-Nu‘maan.’” And the Messenger of Allah (blessings and peace of Allah be
upon him) said: “Such is kindness to parents, such is kindness to parents.”
And he was the one who honoured his mother the most among the people.

Classed as saheeh by al-Albaani in
as-Saheehah (913). 

Although the dreams of the Messenger of
Allah (blessings and peace of Allah be upon him) were undoubtedly true, they
cannot be regarded as a statement that this will happen in Paradise. 

Another example is the report narrated
(2914), and classed as saheeh, by at-Tirmidhi from ‘Abdullah ibn ‘Amr (may
Allah be pleased with him, from the Prophet (blessings and peace of Allah be
upon him), who said: “It will be said to the companion of the Qur’an: ‘Read,
and ascend, and recite as you used to recite in the [previous] world, for
your status will be according to the last verse that you recite.’”

Classed as saheeh by al-Albaani in Saheeh
at-Tirmidhi 

Please see also the answer to question no.
191930

For the meaning of reciting the Qur’an in a
melodious voice please see the answer to question no.
1377 

And Allah knows best.