Connecting github repository with google cloud, push at the same time as well as commits

I want to connect my GitHub repository to an already made google cloud project with the exact same documents.
I have been searching and using Google Cloud build, but I need docker, the problem is I don't have any container or docker file in the repository.
I know it's made with triggers and pipes, but i don't know how, I am pretty new to this.

Is there something I could do, or is impossible?
All the docs in google cloud are in SSH.

Solution

I want that everytime i do a push or a commit from my local to the repo automatically do the change in the google cloud project

That means a GitHub Action, and I do not see one which would directly push to your G-CSR (Google Cloud Source Repository).

You would need to write one, which would:

checkout your GitHub repository on push
setup gcloud
call a script like cloudfunction-python37.sh which will
- Enable Google Cloud Source Repository API
  gcloud services enable sourcerepo.googleapis.com;
- Add IAM permissions to default Cloud Build service account
```
gcloud iam service-accounts add-iam-policy-binding \
  $PROJECT_ID@appspot.gserviceaccount.com \
  --member="serviceAccount:$PROJECT_NUMBER@cloudbuild.gserviceaccount.com" \
  --role="roles/iam.serviceAccountUser"
```
- Add Google Cloud Source repository as remote to local Git repository
  git remote add google https://source.developers.google.com/p/$PROJECT_ID/r/$REPO_NAME
- Do a git push