To automate monitoring a website or multiple ones and receive an email whenever necessary, you can use Python, GitHub Actions, and SendGrid. The process involves creating a repository on GitHub, installing dependencies such as PhD-Seeker, filtering data by country using Python, and sending emails with the filtered positions. You can also schedule this script to run every week using GitHub Actions, which allows for automation, customization, and execution of software development workflows. By setting up environment variables and configuring permissions, you can ensure that the workflow runs smoothly and sends emails with PhD positions to your desired email addresses.