This music is the Prelude in C minor (BWV999) by Johann Sebastian Bach, originally a keyboard work for Lute-Harpsichord. It is often called the Little Prelude in C minor to distinguish it from the keyboard preludes in his Well-Tempered Clavier. This Guitar version is transposed to D minor to better suit the instrument's tuning although you will notice that it actually ends in the key of A minor. On mfiles we also have the original keyboard/piano version of this prelude.
The video below illustrates the guitar arrangement using a "piano roll" style animation. Below the video you can play the mp3 file and see the sheet music below that. Downloads of the PDF sheet music, mp3 file and midi file are available via the links in the left-hand menu.
Here is a video of Bach's Little Prelude in Cm for guitar:
The audio controls below allow you to play the mp3 version of Bach's Little Prelude in Cm for guitar or you can download the MP3 file. You can also download the midi version of Bach's Little Prelude in Cm for guitar.
The image below is the first page of the sheet music, and here you can download the full sheet music for Bach's Little Prelude in Cm for guitar in PDF format.