You can host a photo and video portfolio built with Exposé on Netlify by installing Exposé as a git submodule, configuring the project directory, creating images subdirectories, running the expose.sh script to compile your site, linking your GitHub repository to Netlify, authorizing Netlify, selecting your repository, configuring settings, building your site, and finally, deploying your site to Netlify. With these steps, you can take advantage of continuous deployment and make your Exposé portfolio available online in a consistent and updated manner.