Is it permissible to read the Qur’aan without understanding its meanings?

Yes, it is permissible for believing men and women to read
the Qur’aan even if they do not understand the meaning, but it is prescribed
to ponder and think so that one may understand, and to refer to books of
tafseer (commentaries) if one has enough knowledge to understand them, and
to refer to books of tafseer and Arabic language in order to benefit from
that, and he can ask scholars about anything he does not understand. What is
meant is that he should ponder the meanings, because Allah says
(interpretation of the meaning): 

“(This is) a Book (the Qur’aan) which We have sent down to
you, full of blessings, that they may ponder over its Verses, and that men
of understanding may remember”

[Saad 38:29]. 

The believer should ponder the meanings, i.e., he should pay
attention to reading and think about what it means; he should understand the
meanings and thus he will benefit from it. If he does not understand the
meaning perfectly, he will still understand many meanings. So let him read
carefully and ponder and understand. This also applies to women. The reader
should benefit from the words of his or her Lord and understand the meaning
so that he may act upon it. Allah says (interpretation of the meaning): 

“Do they not then think deeply in the Qur’aan, or are
their hearts locked up (from understanding it)?”

[Muhammad 47:24]. 

Our Lord, may He be glorified and exalted, urges and
encourages us to think and ponder His words. When the believer — man or
woman — reads the Book of Allah, it is prescribed for them to ponder and
think and pay attention to what is read, so that they may benefit from the
words of Allah and so that they may understand the words of Allah and so
that they may act upon what they learn from the words of Allah. They may
seek help in doing so from books of tafseer that have been written by
scholars such as those by Ibn Katheer, Ibn Jareer, al-Baghawi, al-Shawkaani
and others. They may also make use of books of Arabic language and ask
scholars who are known for their knowledge and virtue about anything they do
not understand. End quote. 

Shaykh ‘Abd al-‘Azeez ibn Baaz (may Allah have mercy on him).