Monitor Google Cloud Run memory usage
Currently, there seems to be no way to monitor the memory usage of a Google Cloud Run instance through Stackdriver or on "Cloud Run" page in Google Cloud Console.
I have filed a feature request on your behalf, in order to add memory usage metrics to Cloud Run. You can see and track this feature request in the following link.
Cloud Run now exposes a new metrics named "Memory Utilization" in Cloud Monitoring, see more details here.
This metrics captures the container memory utilization distribution across all container instances of the revision. It is recommended to look at the percentiles of this metric: 50th percentile, 95th percentiles ad 99th percentiles to understand how utilized are your instances