Overclocking an AMD Duron 1 GHz requires connecting specific bridges on the chip to unlock the multiplier option in the BIOS, as some motherboards lack built-in overclocking features. The discussion highlights that while AMD and Intel processors can reach similar clock speeds, AMD's performance ratings can be misleading, as their processors often run at lower actual speeds. Overclocking success is highly dependent on the CPU's design and testing, with some chips being more capable than others. Users are advised to consider the risks of overheating and potential system instability when overclocking, and upgrading to a faster CPU is often recommended for better performance. Ultimately, while overclocking can be attempted, it carries risks and may not yield significant benefits.