Musical notation is important because within a piece of music, the musician needs to know how long to hold a certain note, such as the quarter getting four beats. Benefits that musicians and others receive from being able to write down and note aspects of a musical piece are being able to better understand the message that the composer was trying to convey and being able to place dynamics in order to make the music move.
The artist is Pablo Picasso. The painting is called Guernica. Spain's government commissioned Picasso to paint it for the 1937 Paris International Exposition.