Yes, you can listen to a lot of music midis found on the web if you have sound speakers and the right plug-ins such as "Real Player" or Media Player on your computer. 

Bob's Hymn-type MIDI Sequences--Listen to many Organ/Piano Hymn Arrangements!

Listen to many old and new hymns on line from www.newsongonline.org

Christian Book. com - Search for a song by Title and listen to sample midi for the music.  This site allows you to insert the name of a song that you have heard and then you can select the musicians and listen to the song before you purchase the soundtrack from a store. 

Cyberhymnal - see a listing of over 6900 hymns.  Select "Titles", then go to the next page for the alphabetical listing.  Select the "letter" for title of hymn.  A box will likely come up and you will hear the song and you should be able to READ the words.