I found a couple of Arduino apps in the Windows 10 App store recently, both put out by Microsoft. There is an app that allows your Windows Phone to act as a virtual shield for an Arduino board which I ave not tried yet, but I set up and ran a quick test of the second app which lets you remotely trigger and monitor the pin inputs and outputs.
I set up a simple circuit with some LEDs on pins 2, 3, and 4, and toggle them from my desktop using the app. There isn’t any special code needed for this, the Sketch used is the StandardFirmata sketch listed in the Arduino app under the example sketches.
There doesn’t seem to be a lot more that can be done with this app. As far as I can tell, it’s not really set up for any sort of customizing such as naming the triggers or causing any sort of action to be taken when a trigger is activated on the Arduino (such as pressing a button to open a URL).
There is some additional information available from Microsoft about setting up Visual Studio to build Arduino projects but I have not tested it yet, I actually have run into an error in Visual Studio when trying to load the projects.