Installing Brunch globally on your system, which you need to make sure Brunch has access to the proper dependencies, is done using the `npm install -g brunch` command. Additionally, installing bower at this step as well is recommended to avoid problems later on. A new Brunchnetlify directory is created with all necessary assets for development in Brunch. The project can be initialized and committed to a Git repository such as GitHub. To connect the site to Netlify, you need to link your GitHub repository to Netlify, authorize Netlify to access your GitHub account, select the correct repository, configure settings, build the site, and finally, deploy it to production with a custom domain. Throughout this process, Brunch's continuous deployment feature is utilized, allowing for seamless updates without manual intervention.