You can host a project built with Assemble on Netlify by installing Node.js, Grunt, and Assemble, then setting up a GitHub repository and connecting it to Netlify. This allows for continuous deployment of updates and changes, without manual deploying. To set up this process, you need to initialize the local directory as a Git repository, add files, commit, and push them to GitHub. Then, link your GitHub repository to Netlify, authorize access, select your repository, configure settings, build your site, and finally, wait for Netlify to do the rest.