The Islamic ruling offered by the Saudi House of Rulings, at the time of Sheikh Abdul Azeez bin Baz (may Allah have Mercy upon him) reads as follows:
"There is nothing wrong with menstruating woman or a woman in post-natal bleeding to recite the Qur'an, because there is no clear-cut authentic hadith that forbids them from doing so. However, it is reported in an authentic hadith that one who is junub (one in a state of impurity following sexual intercourse or wet dream), must not read the Qur'an while he or she is impure, according to the hadith reported by `Ali (may Allah be pleased with him).
However, such woman (in menstruation or post-natal bleeding) should not touch the mushaf (a copy of the Qur'an); she can only read from her own memory. As for the junub, he or she is not to recite the Qur'an, whether from memory or from the mushaf, until he or she has performed ghusl (purificatory bath). The difference between them is that the time span for the one who is junub to have himself or herself purified is very short; he or she can do ghusl right away after lovemaking or wet dream. The junub does not stay in this condition for long, and it is up to him/her when he/she wants to make ghusl; if he/she does not find water, he/she can do tayammum (dry ablution) and then he or she can pray and read the Qur'an. But the woman in menses or in post-natal bleeding has no control over her situation – the matter is up to Allah the Almighty.
Therefore, it is permissible for them to recite the Qur'an so that they do not forget it and they do not miss learning the teachings of Shari`ah from the Book of Allah. If that is the case, then it should certainly be permissible for them to read books containing du`a' (supplication) that are mixed with verses and hadiths, etc. This is the view believed to the most correct."