app.component.ts

```typescript
import { Component } from '@angular/core';
import { HttpClient } from '@angular/common/http';

@Component({
  selector: 'app-root',
  templateUrl: './app.component.html',
  styleUrls: ['./app.component.css']
})
export class AppComponent {
  title = 'StudioGibliTasks';
  isLoggedIn = false;
  userProfile: any;

  constructor(private http: HttpClient) {}

  handleAuthClick() {
    // Google OAuth logic here
    // This is a placeholder - implement actual Google Sign-In
    this.isLoggedIn = true;
    this.userProfile = {
      name: 'Demo User',
      picture: 'http://static.photos/people/200x200/10'
    };
  }
}
```