Pulumi simplifies the process of deploying Docker containers to the cloud using AWS services, such as AWS Fargate, by automating tasks like creating a container registry in ECR, defining tasks in ECS, and configuring load balancers. The blog post details the steps for setting up a Pulumi project to deploy a Docker container running NGINX, requiring users to configure their AWS accounts, install necessary tools like Node.js and Docker, and define infrastructure in JavaScript. Users create a Dockerfile and static webpage, configure Pulumi to use AWS Fargate, and deploy the application using the `pulumi update` command, which automatically sets up resources like an ECR repository, ECS service, and IAM roles. The post also explains how to view application logs using the `pulumi logs` command, allowing users to monitor traffic and identify potential security vulnerabilities. Finally, it provides guidance on cleaning up resources with `pulumi destroy` and references additional examples in the Pulumi GitHub repository for further exploration.