At Build 2013, Microsoft made a number of Windows Azure announcements including the availability of Windows Azure Mobile Services and Websites. Read the team blog here for more detail.
Mobile Services makes it fast and easy to create a mobile backend for every device. Mobile Services simplifies user authentication, push notification, server side data and business logic so you can get your mobile application in market fast. Mobile Services provides native SDKs for Windows Store, Windows Phone, Android, iOS and HTML5 as well as REST APIs.
Windows Azure Web Sites is the fastest way to build, scale and manage business grade Web applications. Windows Azure Web-Sites is open and flexible with support for multiple languages and frameworks including ASP.NET, PHP, Node.JS and Python, multiple open-source applications including WordPress, Drupal and even multiple databases. ASP.NET developers can easily create new or move existing web-sites to Windows Azure from directly inside Visual Studio.
To see how you can build modern applications that utilize these services, watch Build keynotes. Note: Day One Keynote covers Windows 8.1. Day Two Keynote covers Visual Studio 2013 Preview and Windows Azure.