i think that means you read philosophy, math, Latin and Greek: Homer, Thucydides, Aeschylus, Pascal, some Whitehead, Russell. Some Sartre and Camus and Nietzsche, Heidegger if you want a tortured existence. You want to go to St Johns college, i think, maybe Univ of Chicago .
With a rigorous math background and some linguistics , you have the foundation of a good programming career.
A classical education is more about technique than material or school. The standard education model is that students are told what is true and what is not, and then they need to regurgitate what they've been told. The classical approach is for a student to try to understand the material themselves, then interact with a teacher and fellow classmates through a discussion format based on the Socratic method to develop their understanding.