chore(docs): update README template to monorepo (googleapis#9020)

Should unblock googleapis#8132

Author: westarle

bin/README.mustache

@@ -36,7 +36,7 @@ Once downloaded, store the path to this file in the `GOOGLE_APPLICATION_CREDENTI
 
 ### Other Authentication Methods
 
-Other authentication methods are outlined in the README for [google-auth-library-nodejs](https://github.com/googleapis/google-auth-library-nodejs),
+Other authentication methods are outlined in the README for [google-auth-library-nodejs](https://github.com/googleapis/google-cloud-node/tree/main/core/packages/google-auth-library-nodejs),
 which is the authentication library used by all Google Cloud Node.js clients.
 
 ## Example Applications
@@ -105,8 +105,8 @@ Apache 2.0 - See [LICENSE][license] for more information.
 [hya-io]: https://hya.io
 [gstore-node]: https://github.com/sebelga/gstore-node
 [gstore-api]: https://github.com/sebelga/gstore-api
-[devconsole]: https://console.developer.google.com
-[googleapis]: https://github.com/google/google-api-nodejs-client
+[devconsole]: https://console.cloud.google.com
+[googleapis]: https://github.com/googleapis/google-api-nodejs-client
 [semver]: http://semver.org
 [contributing]: CONTRIBUTING.md
 [license]: LICENSE