Skype's Web client has received a neat update today, one which brings with it a couple of new features. First off, you can now call mobile phones as well as landlines straight from Skype's Web interface. This might let you save money compared to your carrier's rates, depending on where you're calling. You obviously need either a Skype calling subscription or some Skype credit in your account in order to make use of this functionality.
Next up, you can watch YouTube videos directly inside Skype for Web from this point on. When someone shares a link to a YouTube video in a Skype conversation, that will instantly embed said video into the page. So no more jumping to a new tab or window to see the video in question. Furthermore, when other URLs are shared in Skype for Web, you'll see an image from the webpage.
You can add new people to a conversation even if they're not on Skype, which is something that debuted in Skype's client for Windows PCs not long ago. Basically you create a unique URL for a conversation, and then share that with the person who doesn't have a Skype account. He or she will then be able to join in.
Finally, notifications are going to show up as long as you're signed into Skype for Web and have it open in your browser, even if you're in another app or another tab.