YouTube lets you follow a channel, and you can press a button to "Notify" you when a channel posts a new
video. But then it doesn't show you the new videos from that channel. It just doesn't seem to work the way we expect it to. But there is a way to see every new video that a channel puts out. To do that, you subscribe to the channel's RSS
feed. You will need an RSS reader. There is a
list of RSS readers at reddit. But my favorite is
The Old Reader, which works like the discontinued Google Reader. That one is a web application. But you can also get desktop apps.
Anyways, once you have an RSS reader, just copy the url of the channel you want:
https://www.youtube.com/@paulwheaton/
Then paste it into the "Add Feed" or "Add Subscription" feature of your RSS reader. It will automatically populate with the most recent videos. And then, whenever that channel posts a new video, it will be there in your RSS reader waiting for you to see it.