Different "editions" of the Java platform are available, including:
You can download Java SDK (J2SE) from site http://java.sun.com/javase/downloads
Installation depends on the operating system.
For example:
Windows
j2sdk-<version>-windows-i586-p.exe
Linux
j2sdk-<version>-linux-i586.bin
To verify Java installation you can execute the command:
> java -version
Result is presented in form:
java version "1.5.0_05"
Java(TM) 2 Runtime Environment, Standard Edition (build 1.5.0_05-b05)
Java HotSpot(TM) Client VM (build 1.5.0_05-b05, mixed mode, sharing)