I think - especially at first - you should read the bible book by book, until you've completed it. Once you've read every book, I think picking certain books, chapters, or verses to read and contemplate on will benefit you. Of course, any reading will benefit, but I think it depends on personal preference.
HG Bishop Youssef (SUS) gave a sermon once about how to read the bible. He mentioned that when reading, you should consider these six points:
1) is there any direct instruction
2) is there any direct warning
3) any promises
4) any privileges
5) attributes of the Lord
6) lessons from biblical characters
I haven't been successful in finding this sermon online anywhere.