For a Biblical account of the Intertestamental period we recommend you read 1 Maccabees. If you do not have a book containing the Apocrypha or a Bible with the Apocrypha in it, you can read it at the gutenberg.org website. Here is the link to 1 Maccabees:

http://www.gutenberg.org/ebooks/8345

For an overview of the New Testament watch the Bible Project video on Overview – New Testament. Here is the link: 

https://www.youtube.com/watch?v=Q0BrP8bqj0c (8 minutes)