Android Studio uses Gradle as the official build tool for projects, moving away from the now outdated Apache Ant. Gradle is a powerful build tool, especially for Android development with which it's very easy to do things that are otherwise impossible or very hard to do on other build systems,...
Android Studio is the official IDE for Android and it works great as an Android IDE. Unfortunately, that's the only thing it can do, if you want to develop applications for other platforms in Java, you have to learn another IDE as well.
While the Android team have recently fixed issues that had to do with emulation on an x86 architecture and greatly improving emulator speeds, emulating an Android device and running apps on an ARM architecture is still pretty slow.
Google recommends moving away from Eclipse for Android Development, plugins and features are adopted much later from Eclipse than from Android Studio or IntelliJ IDEA and in the future the ADT plugin may be abandoned altogether.