Sony has announced that it will be releasing the PlayStation 4's 3.50 firmware update tomorrow, meaning that from tomorrow we'll be able to stream PlayStation games to our PC or Mac from the console.
You'll need to be running Windows 8.1 or Windows 10 to run remote play on a PC, and OSX 10.10 or higher to run it on Macs. Because you'll be streaming a feed of the game from the console to your PC, games won't look as good in remote play as it would on the console direct but you can choose from three different resolutions depending on your bandwidth: 360p, 540p, 720p. Plus, if your internet can handle it, you can play games at 60fps.
There's a load of other bits and pieces in the update. like appearing offline on the PSN, which you can read about in this blog post, but Remote Play is the real standout.
Sony has put together this video that breaks down the new features: