Follow the instructions on this page to install islamiccal.
Try launching it by typing in a terminal (Applications→Accessories→Terminal):
islamiccal
If you have this kind of error:
Launching Islamic Calendar...
Exception in thread “main” java.lang.UnsupportedClassVersionError: Bad version number in .class file
or:
Launching Islamic Calendar...
Exception in thread “main” java.lang.ClassFormatError: ubuntume.islamiccalendar.IslamicCalendar (unrecognized class file version)
Type the following command:
sudo update-alternatives --config java
and select “/usr/lib/jvm/java-6-sun/jre/bin/java”.
Islamic Calendar will be executed automatically at startup.