How does one read Serre's Course of Arithmetic?

In honor of Serre's birthday, I bought a copy of A Course in Arithmetic. From those of you who have read and gained something from this text, how does one read it? It's hard for me to discern why he discusses topics in the order that he chooses: Finite fields, p-adic fields, and then the Hilbert symbol and quadratic forms. He makes a big deal of quadratic reciprocity early and reciprocity laws come up over and over again. And that's just the algebraic number theory part. For context, I've been working through Marcus's Number Fields and Ireland and Rosen's Classical Introduction . These books are wonderful -- exceptionally friendly and readable. I was hoping to gain some additional insights from the master, but I'm unable to understand the organization, let alone appreciate any deeper insights.