You'd be wasting money.
Motherboard is bottom end Z97.
The G3258, we discussed a bit earlier. It's only decent in games if you overclock it to around 4.5. And even then, it won't feel anything like an i5 (or even an i3), especially outside of games, where thread count matters.
The R7 370 is about 20% below the GTX 960, which, considering it costs 2/3 as much, really isn't bad, but it won't perform very well at 1080P. You'll be playing things on low.
Ram is probably ok if it's a single 4GB module since you could just add another, but if it's 2x2, then you're stuck with a max of 8...
That HDD is probably old. I wouldn't trust a used spinning disk.
Ultra PSU and case, yuck.
Windows is probably an illegitimate copy.
The mobo and CPU are worth maybe $80-90 together. The GPU, $100. Ram, $15, maybe. The rest, is just a waste of your time/space in your trash can.
Where do you live? I can look on craigslist for you
PM me if you're more comfortable sharing there.
The build we put together is pretty solid for your budget with NEW parts.
Now, if you're willing to go used, that's a completely different story (and one that I'm honestly a little more familiar with
).
----- Bottom line -------
No, don't buy that PC.