What I really want to know though is when the brain starts responding to its environment and begins evolving as a result of the input it receives from various senses, does it do so from basis that’s shared with all other newborns or is every person truly unique at birth.
Maternal stress, which the fetus can sense through hormones that cross the placental barrier, is also known to affect development before birth.
Babies respond to “inputs” in the womb. The environmental factors that affect brain development (not “evolution”) include maternal hormones, nutrition, drugs and alcohol, even sounds.
The extent to which the wiring is identical, and how much of our intelligence and ability to learn comes "hard wired" is one of the Big Open Questions in neuroscience / cognitive science.
No.
Genetic diversity due to isolation of cultures in their environments over the eons has made this impossible.
The obvious (and prevailing) perspective is both.
Intellectual and psychological traits have some genetic predisposition, yet we should never discount the general adaptability of all minds.
Want science proofs? Consider how twins who grow up apart are strikingly similar, and consider how these examples might diverge from your own (random) characteristics.
In the womb.
Why do you ask?