I'm not sure about 'objectively,' because I recognize how everyone brings some prior conceptions with them...but it can be read with a critical eye, neither blindly accepting nor blindly rejecting, but questioning each line concerning the who, what, when, where, why, and how of the text and how it came to be in its current forms--and yes, there are different forms of the set of documents that is currently called "the Bible."
This would include looking to different translations--and perhaps learning to read the originals which appear in several different languages), and realizing that different groups accept different versions of the texts (additional text here, less text there, sometimes different but similar words used in the accepted translations...sometimes entirely separate books...) and different interpretations of those texts...