Nope you shouldn't. Rasoolullah got angry with Umar (ra) when he brought Torah in front of him to learn it. All previous scriptures were abrogated with the coming of Rasoolullah and the revelation of the Quran. Spend time learning the Quran rather than wasting time with the Bible. Al-Bazzaar on the authority of Jaabir(ra). He said, “‘Umar copied part of the Torah in Arabic, brought it to the Prophet , and began to read it to him. As he read, the Prophet’s face changed color. One of the men of the Ansaar said, "Woe to you Ibn Al-Khattaab! Can you not see the face of the Messenger of Allaah?’ Thereupon, the Prophet , said, ‘Do not ask the People of the Book about anything for they will not guide you when they have gone astray. (If you listen to them) You will either disbelieve in what is right or believe in what is false. By Allaah, if Moses had been alive today, he would have been obliged to follow me.’”