Angular webpack compiled successfully, stuck in compile stage - webpage didn't opened

That's exactly what it's supposed to look like. Now go to your browser and hit the URL:

http://localhost:4200/

If you want the output to automatically open after compilation in your browser, then pass --open argument while hitting ng serve:

ng serve --open

If you want the process to happen automatically whenever you hit npm start then you should modify the scripts property from package.json of your project:

...
"scripts": {
    ...
    "start": "ng serve --open",
    ...
},
...

Now whenever you hit npm start it will compile as well as open the webpage for that project.