To become familiar with the Bible, you should read it prayerfully and systematically every day. So you are on the right track in wanting to read the Bible through from beginning to end.
Here are links to a couple of websites that will assist you in doing this (please click on the titles):
The Guide will take you through the Old Testament once and the New Testament twice in the course of a year. The Daily Readings site follows this same guide and will assist you by providing comments on the readings from a variety of Bible students.
I hope you have found this helpful.
May God bless you,