Yes, the volunteers can see their data in the V4S Personal sites pages, even if they Check-In for the Job/Shift using the V4S Kiosk application. As the data comes from the Volunteer's Contact record the volunteer hours get updated on the Sites pages also.

The Volunteer Hours gets updated in the Sites pages once the volunteer status is changed from confirmed/Web Signup to Completed. To change the Volunteer status from Confirmed/Web Signup to Completed, please enable the scheduler in your org from here.