The CPU (Phenom II X6 1035T) was only a mid-ranged CPU at the time. It's not as fast as the 1090T which was the only AMD CPU to hold up to the Intel Core i series at the time, and it will still be roughly 40-80% weaker than equivalently priced Intel CPUs today. It still has the technology that will disable half of it's cores to boost the speed of the other cores, which is important for games since they only use 2 cores (usually), but that doesn't change the fact that it's a last-generation mid-ranged AMD CPU, which is 3 strikes against it.
AMD A6 and A8 has just been launched and makes a marked improvement over the Phenom series. Also Bulldozer is supposed to be released very soon, and they're all supposed to be priced very competitively compared to Intel CPUs. These CPUs are future proof because you can expect them to serve you well for the next 5 or so years.
As for the graphics card (HD6570), it's a budget card. Judging by the size of the case, it's probably also a low profile card. Put simply, it's not very good, however it's enough for now. As more modern games come out you will have to push the settings lower and lower until you're just not satisfied with what you're getting. As a rule of thumb, budget graphics last a year, mid-ranged last 3 years, and high-end graphics last around 5 years. I got a HD4870 and it still holds up well playing all games at high settings (it's comparable to HD5770 or HD6770).
Also the case, motherboard and PSU are at a dead end in terms of upgrading. Judging from the air vents in the case, it's a BTX case/motherboard which is backwards compared to most cases/mobos (which are ATX). Basically, it's not designed for upgrading or even over clocking, it's designed to meet the users needs for a comparatively low price. Even the graphics card will be upside down in an attempt to save space, which is typical of BTX motherboards. Not to mention a 220W PSU doesn't even give you much room to add extra drives.
This is why I say it's not future proof. In a year or two you'll want an upgrade, and this computer will either be handed down to someone who has no special needs, be converted into a server/media storage computer, or be put aside to gather dust (like 4 of my computers). This is just based on my observation however, as I do know people who can make such a computer last 6 years... But that's not most people.