Google Cloud Run is a compute platform designed to run stateless containers without the need to manage infrastructure, available as a fully managed service or through Cloud Run for Anthos, which operates across Google Kubernetes Engine, multi-cloud, on-premise, and hybrid environments. It leverages Knative for serverless computing, enabling users to deploy containers with ease by specifying configurations such as environment variables and memory limits. Datadog, a launch partner, offers integrations that provide visibility into Cloud Run services, allowing users to monitor metrics, logs, and traces across both cloud-based and on-premise infrastructures. Through Datadog's integration, users can automatically collect and analyze performance data, including latency and resource usage, and utilize tags for efficient data management. Additionally, Cloud Run supports audit logs for detailed activity tracking, which can be integrated with Datadog's Stackdriver Logs for comprehensive monitoring. Whether managing infrastructure locally or in the cloud, Cloud Run offers scalable solutions with Datadog providing robust monitoring capabilities.