You can access key Cloud Run metrics through the Cloud Run UI or within Google's Cloud Monitoring service. Cloud Run is automatically integrated with Cloud Monitoring, allowing you to view metrics without further setup or configuration. The Cloud Run UI provides a quick overview of performance and allows for advanced filtering options such as custom metric analysis and historical data comparisons. Additionally, Cloud Run services emit logs containing details about request and responses, container startups and shutdowns, security alerts, and other important information. You can view these logs within the Cloud Run UI or via the Google Cloud CLI. Furthermore, Cloud Monitoring enables you to collect and visualize metrics from across several different Google tools, allowing for a unified platform for monitoring your serverless applications.