I am using this to export metrics from Prometheus to Kubernetes. That seems to be working. I can (successfully) see the metric names with
kubectl get --raw /apis/custom.metrics.k8s.io/v1beta1 | jq '.'
This shows the names of the metrics, but doesn't show the values. How do I see the values?
I intend to use this with a HorizontalPodAutoscaler. I'd like to see what the metric values look like within the Kubernetes Metric System to assist in understanding and configuring this correctly.
You need to be more specific for the Kubernetes API.
If you deployed everything correctly and everything is working as it should when you use
$ kubectl get --raw="/apis/custom.metrics.k8s.io/v1beta1" | jq
you should get list of MetricValues
if you have any metrics added.
Here is a really good article about Building Kubernetes Apps with Scaling on Custom Metrics: A Gentle Introduction.
You mentioned that your intend is to use the metrics for HorizontalPodAutoscaler, I would strongly recommend going over Kubernetes pod autoscaler using custom metrics as it provides some really nice examples on how to create and use custom metrics.