By default IIS is missing the URL rewrite.
Looking at a fresh install of IIS admin view, the icon which should be found within the section, IIS, is missing.
Having gone through the sequence to add asp.net as detailed in the article Adding ASP.NET Features to IIS7.5, I expected to find it as an option here.
But it’s not listed.
To add this visit the page https://www.iis.net/downloads/microsoft/url-rewrite and follow the instructions, downloading and running the module.
Here’s a view of the IIS admin screen with the URL Rewrite icon, sitting between the Server Certificates and Worker Processes on the bottom row of the IIS section.