Does converting ETH to WETH cost gas?

Does converting Ethereum (ETH) to Wrapped Ethereum (WETH) actually involve any gas fees? I'm just curious about the economics behind this process. Is it similar to making any other type of transaction on the Ethereum blockchain, where you need to pay for the computational power used to execute the conversion? Or is there some sort of exemption or special arrangement that makes it cost-free? Understanding this would help me better manage my crypto assets and avoid unnecessary expenses.