Blender like Camera Control Shortcuts

I'm trying to come up with an editor script that will let me change the scene view camera orientation with keypad keys (7 for top, 1 for front and 3 for right views) just like in Blender.

I'm able to get the right camera and get the correct keyboard events, but when I change the rotation of the scene view camera, nothing happens.

Is there a way to do this or better yet a class to access the top right gizmo in the scene view that we use to manipulate the camera orientation and render mode(perspective/orthographic)

Below is my code so far.

 using UnityEngine;
 using UnityEditor;
 
 [CustomEditor(typeof(Transform))]
 public class BlenderCamControl : Editor {
     public void OnSceneGUI() {
         //TODO If no transform selected, select first transform in hierarchy
 
         Event keyboardEvent = Event.current;
 
         if(keyboardEvent.isKey) {
             switch(keyboardEvent.keyCode) {
                 case KeyCode.Keypad1:
                     Debug.Log(Camera.current.transform.eulerAngles);
                     Camera.current.transform.rotation = Quaternion.Euler(new Vector3(0f, 180f, 0f));
                     break;
 
                 case KeyCode.Keypad3:
                     Camera.current.transform.rotation = Quaternion.Euler(new Vector3(0f, 270f, 0f));
                     break;
 
                 case KeyCode.Keypad7:
                     Camera.current.transform.rotation = Quaternion.Euler(new Vector3(90f, 0f, 0f));
                     break;
             }
         }
     }
 }