Hi Paul,
Sending commands to your core via curl means it is accessible from anywhere. You can send it from unix, or windows, or a browser plugin, or a phone app, or you can get more advanced and send the commands from your favorite programming language. You don’t have to be on your local network, that’s the main advantage of the cloud!
Here’s a few examples.
From windows:
From mac terminal/unix:
Just type the curl … command in terminal.
From a browser extension:
See BDub’s excellent summary here
If you want to build a web page that’s permanently displaying data from your core, you could quite simply modify a few of the examples listed on the forum (BDub has one, look through his old posts). There’s a fair bit more learning to go down that road though.