Genesis is thousands of years before our present. The first major sections (chapters 1-11) has next to no information of their culture. From the passages we can gleam that they had a civilization, society, art, and metal work (Genesis 4:21-22). Apart from what the Bible tells us we know nothing of how their day-to-day life was before the flood.
“The Lord saw that the wickedness of man was great in the earth, and that every intention of the thoughts of his heart was only evil continually” (Genesis 6:5, ESV).
How is this an aspect of culture? Culture is the worldview of a people group: how they think, what they believe, and how they behave is respect to the world around them. The culture is the primeval world was filled with evil. To be honest it was not that different than later biblical periods or even compared to our age. “Everyone did what was right in his own eyes” Judges 21:25b. The original audience of the Torah (Genesis-Deuteronomy) knew all too well how rebellious people can be, even when they had the blessing of seeing God at work before their eyes. Half of the kings of Judah and all of the kings of Israel had led their people into evil.
The cultural context here is one that repeats throughout human history: sin and judgement.
When we get to Exodus we will look at the cultural context of the original audience as we study the contexts of their own stories found in Exodus through Deuteronomy.