Yes for sure you will get sawab or ajr or hasanaat for reading Holy Quran. In addition, niyat is also the main thing.
But think for a minute, you did not even cite any of this. Bihar ul anwar is not word of Allah. It has been written by someone we don not who… That person could have been anybody. We don’t know.
The ethics of writing a book are that when you quote someone, you cite. In other words, you cannot associate anything with anyone without proof. Where is the proof???
Although sawab is there in reading the Holy Quran, but there also may be some gunah or saiiat if you are reading something for some cure and it is not what the Prophet (pbuh) said. Its like associating a lie with the Prophet (pbuh).
Imaam ash-Shaafi’ee [1] says in his ‘Risaalah’ (394-403: #1090-1105),
#1090] Surely, the greatest of liars is he who ascribes to me that which I did not say, and who claims to have dreamt what he did not dream, and who claims that he is the son of someone other than his own father.
#1091] Whoever ascribes to me that which I did not say, will surely have to occupy his seat in the fire [of hell]
#1092] Surely, whoever tells untruths about me, will have a house built for him in the fire [of hell].
#1093] Whoever tells untruths about me is surely seeking for himself a resting place in the fire [of hell]. The Messenger of Allah began to say that while he was wiping the ground with his hand.
#1094] From Abu Hurayra, “You may report about the Children of Israel and there is no blame (haraj). Report about (or from) me, but do not tell untruths about me.”
#1095] This is the most emphatic hadeeth ever transmitted from the Messenger of Allah on this matter. We have relied on it as well as on others (ahaadeeth or evidences) in not accepting any report (hadeethan) except from a trustworthy [transmitter], and that we know the truthfulness of those who transmitted the hadeeth since it was begun till its end is reached.
On Daeef (Weak) Hadith and Passing Rulings Based on Them (www.islaam.org.uk)