How do I buy Ethereum on Coinbase?

As a cryptocurrency enthusiast, I'm curious about the process of purchasing Ethereum on Coinbase. Could you please explain the steps involved in detail? Specifically, I'd like to know how to set up an account, verify my identity, fund my account with fiat currency, and finally execute the purchase of Ethereum. Additionally, I'm also interested in understanding any potential fees or limitations that might apply during the transaction. Could you provide any insights or tips to ensure a smooth and secure transaction?