The short answer is that it depends on what music you've been exposed to.
First of all, it's important to understand what music is.
Music is layers of mathematical patterns. To be more specific it is a range of frequencies that have a mathematical relationship between them (in frequency) which are periodically played in a manner which displays a mathematical relationship of time. The range of frequencies makes up our musical system and is usually based off of A at 440hz. All other notes have a fraction with a nice integer of 440hz. It is important to understand that it doesn't need to be 440hz, but the notes do need to be relative to each other in a way that produces a relationship with a nice fraction.
On top of that, the mathematical pattern that makes up our musical system is further extended into scales. For example the C major scale is made up of the following pattern: tone-tone-semitone-tone-tone-tone-semitone. Actually, all major scales have this pattern. (See here)
To add another layer of mathematical relationship, we have rhythm and timing in our musical system. I'm sure you are aware of the relationship between notes having fractions of timing; the half note counts for half of the beats that a whole note does and so on.
The point to realize about all of this is that we enjoy music because of the patterns our brains find in them. Sometimes we don't understand music and therefore we don't enjoy it. The more we are exposed to a certain type of music, usually equates to a greater interest in said music. See the question on Music.SE here regarding this phenomenon; in summary, it was explained that it is indeed the case that exposure equals a greater appreciation for music and this is why big producers often pay radio stations to play their songs so that it gets greater exposure and more record sales.
Consider this, you have a specific background and exposure in life to a certain kind of music (whatever that music may be), do you think you could enjoy music from a completely different culture the first time you hear it and to the same degree that the locals do?
My unsolicited personal opinion, made through intrapersonal observation, is that the brain enjoys patterns and the ability to predict the result of a pattern. How often do you find yourself thinking about the next note that will be played when listening to a song that you really enjoy? I think this anticipation and ability to decode the pattern plays a major role in us acquiring the taste of a particular song or genre. I have personal had the experience to come to like genres of music which I disliked very much in the past.
"How Your Brain Listens to Music" - an article about people with auditory cortex damage and how they experience music