An activity that's very popular with evangelicals is called "reading through the bible in a year". It is exactly as described: using a furnished checklist of roughly a few chapters a day, the evangelical reads their allotted scripture passages each day, until they have read through the bible in a year's time. There are also web sites and computer programs that will help you keep track of your progress as well. The motive behind this is to get christians to read their bibles completely through, which it's my understanding that very few of the faithful actually do in their lifetime.
The only problem with this is: for most people, bible reading becomes simply a mechanical chore, and you don't read critically what the passages are saying. I should know, because I would speed read a lot of scripture, and never really take the time to ponder what it really meant. Once I started taking my time, and actually READ the scripture--especially in the pentateuch--the bible began making less and less sense to me, and I began to really consider how silly and unbelievable the bible really was.
It was only when I actually began to read and comprehend the meaning of what was supposed to be god's "word" that planted the seeds of doubt in my mind, and ultimately led to me rejecting the bible and god altogether.
A christian on a proselytizing mission may tell an atheist/nontheist to read your bible in order to understand faith. For me anyway, it was the other way around: it drove me away from faith and myths. Once you drop the chains and shackles of religion and theoretical deities, you can really begin to comprehend the meaning of life and live it more fully without the cloud of eternal damnation hanging over your head.