You put this in a FM1 motherboards CPU socket. and you can run the monitor off of the FM1 motherboards video output. It is surprisingly capable when paired with fast system memory... Though I would recommend the A8-3870K instead...
It features 600MHz higher stock clocks plus an unlocked multiplier to make overclocking just a matter of raising the multiplier. Or for $30 more you can have yet another speed improvement of 900MHz on stock clocks plus a better GPU die with A8-3870K, also featuring an unlocked multiplier.
You can pair these chips with a GPU for dual graphics or a hybrid crossfire, a HD6670 being the most powerful you can pair with it. The result is an improvement but still not as powerful as a $100 HD7750/HD7770. If you were to plan on getting a discrete GPU more powerful than a HD6670 then I would reconsider the CPU (APU) choice altogether and get something like the Phenom II X4 that is faster and has an L3 cache. Or get an Intel.
By the way, I'm trying to build a budget gaming computer. Not too much for the brand new games at max settings. Just something I might be able to run Napoleon: Total War or Civilization 5 on pretty smoothly.
Yes those all work but like I said before, for $10 more you can get the A6-3670K that is about 25% faster stock and supports overclocking. The overclocks I have seen it capable of would make it about 65% faster for $10 more, seems like a no brainer. Also instead of the A55 motherboard I would try to spring for an A75 motherboard with SATAIII support. A power supply? Depends on if you want to add a GPU or not but a 380w Antec Earthwatts would be plenty. You should try to add an HD6670 to the mix for better gaming performance, should run about $60.