We have a great guide to reading the bible called Bible Boot Camp. You can find it by selecting Googling God in our top navigation, then clicking the Bible Boot Camp button.
I also think a good way to read the scripture is to read it along with the daily scripture offered at mass. One reading is usually from the old testament and the other is the gospel during weekdays. On Sundays, we get three bible readings: one from the old testament, one from the latter part of the new testament (usually one of St. Paul’s letters), and one from the Gospels (the story of Jesus).
Mike Hayes is Senior Editor for Googling God