You can run your script in another sidecar of your pod.
- Define a empty directory 
volume  
- Mount this 
volume as your content directory 
- Also mount this directory to sidecar, so that it can access and able to monitor.
 
Example:
apiVersion: v1
kind: Pod
metadata:
  name: monitor-by-sidecar
spec:
  restartPolicy: Never
  volumes: # empty directory volume
  - name: shared-data
    emptyDir: {}
  containers:
  - name: container-which-produce-content # This container is main application which generate contect. Suppose in /usr/share/nginx/html directory
    image: debian
    volumeMounts:
    - name: shared-data
      mountPath: /usr/share/nginx/html
    command: ["/bin/bash", "-c"]
    args:
      - while true;
        do 
        echo "hello world";
        echo "----------------" > /usr/share/nginx/html/index.html;
        cat /usr/share/nginx/html/index.html;
        done
  - name: container-which-run-script-to-monitor # this container will run your monitor scripts. this container mount main application's volume in /pod-data directory and run required scripts.
    image: debian
    volumeMounts:
    - name: shared-data
      mountPath: /pod-data
    command: ["/bin/sh", "-c"]
    args:
    - while true; 
      do 
      echo "hello"; 
      sleep 10;
      ls -la /pod-data/;
      cat /pod-data/index.html;
      done
Example Description
- First container(named container-which-produce-content) is main application, which mount a 
emptyDir volume in /usr/share/nginx/html. In this directory main application will generate data.  
- Second container(named container-which-run-script-to-monitor) will mount same 
emptyDir volume (named shared-data which also mounted by main application in /usr/share/nginx/html dir) in /pod-data directory. This /pod-data contains whole data which main application generated in /usr/share/nginx/html directory. You can then run your scripts on this directory.