Your web team would have to create this app and web site. The old way was to test them later to see if they watched the video.
I can only think that new HR folk are looking for something automated.
We are looking into any software which will track a client's completion of a video online, specifically an required training video.
We are planning to have a members only section of our WordPress site, and then have some sort of program interfacing with that.
I remember when working for a presidential campaign as an IT intern last spring semester, we were required to watch a video on software which required the user to watch the video in full, and skipping was not allowed.
After we finished, we attested that we had viewed the video, and an email was sent to the video's owner.
I do not remember if a download was involved or not, but I believe it was.
Do you happen to know of any software like this off the top of your head?