Google Cloud Run simplifies deployment of container-based applications, handling infrastructure provisioning and scaling based on traffic. However, it has limitations when used with Temporal Worker applications that require long polling to process tasks. To deploy a Temporal Worker on Cloud Run, one needs to disable CPU throttling, set the minimum number of instances, and use a sidecar container for metrics collection. The OpenTelemetry Connector can be utilized to send metrics data to supported platforms like Google Cloud Managed Service for Prometheus.