How can I make a look around effect of the player some kind of cutscene ?

I want that at some point in the game the player will be looking over the view out of the window.
So I added a new Camera and positioned the camera close to the window.
Then using a small script I'm turning the Camera on.

But after turning the camera on I wan to make that the camera will rotate around the window area so it will give a natural feeling that the player is looking over the view outside.



And the script that is attached to another GameObject that activating the Camera :

Code (csharp):

1.  
2. using System.Collections;
3. using System.Collections.Generic;
4. using UnityEngine;
5.  
6. public class ItemAction : MonoBehaviour
7. {
8.     public Camera viewCamera;
9.  
10.     private void Update()
11.     {
12.        
13.     }
14.  
15.     public void ViewCamera()
16.     {
17.         viewCamera.enabled = true;
18.     }
19. }
20.  

Ignore the ItemMove part.

The part I'm using is the ViewCamera method.
But I messed it up.
But the idea is after turning on the Camera to make it feel like looking around the view outside.