That looks like a good machine. It's got a quad core hyperthreaded CPU, which means it looks to the operating system and software as if it has 8 cores instead of 4. The specifications also understate the processor speed; it's 2.4 GHz, but it will scale up to as high as 3.4 GHz when under load. 6 gig of RAM is adequate, but the machine will support up to 16 gig -- if you find you have to, you can add more RAM and this model makes it very, very easy to do so; it's just a single screw over a cover on the back. The HD is an okay size if you do what I do and use an external USB 3.0 drive. Those are rapidly becoming commodity items and, again, the size is adequate to get you started. Unless you're planning on doing video editing, the 5400 rpm speed is okay, as well. It has Windows 8 rather than Windows 7. I'm not a fan of Win8, but I haven't tried running any of the mainstream music programs under it; it may work fine. Win7 is still sold so, if you really have problems with Win8 you can always pickup an "upgrade" package of Win7 and install it using the product ID of the version of Windows on your old laptop as the "qualifying product." I'd strongly recommend using a program like Start8, which will let you boot directly to the "classic" desktop and avoid, entirely, the "Metro" interface (or whatever Microsoft is calling it now). This laptop has a 1366 x 768 screen. My old laptop had the same thing, and I used to use it for music work all the time. I prefer the 1920 x 1080 screen, i.e. HD, for the extra real estate which comes in handy. However, it's not a major drawback and if you are so inclined, you can always just buy the part and install it yourself. HP distributes the service manuals for its laptops on its website. Replacing a screen isn't what I'd call a "beginner's" project, but it's doable, and you may find that you're perfectly content with the somewhat smaller screen. The whole Beats Audio thing is, I think, more about marketing than anything. If you listen to music on the laptop speakers, though these machines have somewhat wider frequency response and can play considerably louder than other laptops, no one is going to think they're listening to a decent stereo system, much less a pair of studio monitors.
Also not in the specs is the fact that the laptop has a dual graphics system. It will auto-switch between an Intel-based low power graphics system and the NVIDIA card based on the demands of the particular program that you're running. This is a great feature, as it prolongs battery life.
All in all, I think this laptop is a much better choice and, given the CPU power, USB 3.0 ports, the amount of RAM and the easy RAM expansion, should serve you quite well for at least the next 3 to 5 years.