بسم الله الرحمن الرحيم
As it is forbidden to touch the Quranic verses during menses in the same way it is also forbidden to recite it. It is also not lawful to recite it with the intention of learning. Yes, she may read the verses containing supplications as dua. Similarly, if she recites the verses in such a way that the words are separated then it is allowed. She may also spell the words letter by letter.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.