You would need to get the pod logs, and extract the token. Given that the pod is already running

k get pods
NAME       READY   STATUS    RESTARTS   AGE
mininote   1/1     Running   0          17m

k get pod mininote -o json | jq '.spec.containers[].image'
"jupyter/minimal-notebook"

you could do this: my pod's name is mininote and it is running in the default namespace

import re
from kubernetes.client.rest import ApiException
from kubernetes import client, config

config.load_kube_config()
pod_name = "mininote"
namespace_name = "default"

try:
    api = client.CoreV1Api()
    response = api.read_namespaced_pod_log(name=pod_name, namespace=namespace_name)
    match = re.search(r'token=([0-9a-z]*)', response)
    print(match.group(1))
except ApiException as e:
    print('Found exception in reading the logs:')
    print(e)

running:

> python main.py
174c891b5db325b2aec283df90525c68ab02b02e3a565da5