Google Assistant SDK to integrate it in an app

Google assistant is build for actions, so if you want to build a conversation, you need to use another api, like api.ai. Also you can look here.

Your example doesn't illustrate embedding the Assistant in your own app - it sounds like it illustrates using the Assistant to start your app.

The former would be supported with this SDK, the latter... not really.

You can embed the newly announced SDK into your apps by building a gRPC library for Android. See https://developers.google.com/assistant/sdk/prototype/getting-started-other-platforms/integrate for the overview information for the Assistant SDK and http://www.grpc.io/docs/quickstart/android.html for getting started with gRPC for Android.