I'd say to have no preconceived notions about what you "should" listen to, play, like, or dislike. There are no rules. No one of whom I can think became successful by following what others said (within reason..).
My advice, despite the latter, would really be to listen to and play as many Beatles, AC DC, Judas Priest songs as possible. Start with a "foundation" in rock music. you can listen to jazz stuff and Rush as well, but a lot of players make a mistake of not learning as many songs as possible. The best players I know basically were in cover bands at first and those people played Beatles, AC DC, and other "staples.." Paul McCartney is a vastly underrated bassist.. he was not even a bassist (none of were before we started), but was rather a guy whom wrote great melodies. Jaco said this as well.. learn non-bass parts, including commercials.
When you watch TV, play along with theme songs or at least get in the right key, training your ear. That's hugely important. Watch Pawn Stars, for example (of 10,000), and nail the keys of the intro music by ear, by instinct. The rest will follow.
oh yes, another hugely important thing.. if your goal will be to play live somewhere, or a lot, play "standing up" as much as possible. This goes way back to what Billy Sheehan and Jaco have said (I think Jaco said it).. they'd watch guys play backstage sitting down, and then they'd go out to play and not be as good.. why? because their bass was in a different position when seated vs standing. Common sense, but play standing up as much as possible if your goal is to play live. Get a good strap too and keep it the same heighth at all times.
Play everything you can and learn everything by ear that you can (reading music can be good to learn too--neither is, or should be, done at the expense of the other!).
oh yeah, take the discipline to play and learn songs like New Year's Day by U2, or Walking on the Moon by the Police.. guys I know make fun of songs like those but that is because they are insecure in my opinion. Music is music.
