yes you can wear gloves or use cloth in order to not touch the Quran ..
In Saheeh-ul-Bukhaaree, from a hadeeth of Aboo Moosaa, that the Messenger of Allaah sallallaahu'alaihiwasallam said:
ýIf an ýabd (slave of Allaah) is ill or upon a journey, Allaah the Exalted writes for him the reward for the like of that which he used to do when healthy or as a residentý
And menstruation is an illness and preventer which stops the one who has it from doing that which she would normally do while well. So when it comes to her and she has a surplus of acts of worship and has the habit of performing acts of obedience, menstruation does not prevent her from attaining them - indeed for her is the reward the like of that which she used to do while she was well.
Do not be upset for the Messenger sallallaahu'alaihiwasallam made clear to his Companions while they were performing jihaad, that he who was desiring to perform jihaad with a sincere intention for this, and nothing prevented him except for a genuine excuse, then indeed for him is reward the like of those who went out for jihad, without any difference. For Al-Bukhaaree reports from a hadeeth of Anas that that the Messenger of Allaah sallallaahu'alaihiwasallam said:
ýIndeed in Madeenah there are some men, you do not traverse a valley nor pass along a path, except that they share with you in the reward. They were prevented by a genuine excuse.
to answer the second question .:
yes you can read any books and Dua'a ..even The explanation of the Quran you don't have to wear gloves..
and also According to a very direct and explicit hadeeth about what we should do on the Night of al-Qadr:
'Aa'ishah asked, "O Messenger of Allaah, what do I do if I catch Laylat al-Qadr?"
He said, "Say: O Allaah, you are 'Afuww (All-Pardoning), and you love to pardon, so pardon me."
Hope that be clear to you
Don't forget me from your Dua'a
Your sister in Islam ,
Nora