Ibiza is now known for its club culture, but its sandy beaches and rocky beaches have exited for much longer. If you want a more peaceful experience, take the ferry or a short flight to Formentera, for a more traditional sun and sand experience away from the club scene.
Sunrises and sunsets are beautiful in Ibiza, especially if you view them over the water, but be warned, if you go to the main parts of the cities on the island, you will be bombarded with hecklers and peddlers selling tickets and ferry rides as you walk along the streets.
There are different cities in Ibiza, even though it is a small Balearic island, and each give a different experience. My favorite part of Ibiza was enjoying its beaches and blue ocean waters, getting away from the city itself. Hostels and hotels are plentiful, but book in advance as these get significantly higher during high-season (March/April through August), if you can.
All opinions are my own.