Wow, that's a fancy monitor there. But I suppose it's a good investment, at that, as you don't need to upgrade them as often, and having one with all the features makes it worthwhile to keep it that long. I have a pretty basic monitor, and I'm quite regretting that, as it's impossible to change the height and angle, it already (after a few years) has a few bad pixels, the left hand side is noticeably brighter than the right, and there is noticeable light bleeding from the bottom... So I will definitely pay more attention to monitors next time around.
And yeap, it should be a good match. That monitor supports both HDMI and DisplayPort (which are the only sane choices for connecting the graphics card to the monitor, given that it has built-in speakers). Though you should keep in mind that if you buy the graphics card with Mini DisplayPort, if you want to connect it to the monitor, you will need a Mini DisplayPort to DisplayPort adapter (it may or may not be included with the card and/or the monitor, but it's good to have in mind regardless). Alternatively, you can connect them using HDMI, but there's a catch again - for such high resolutions, you need a "High Speed" HDMI cable, regular ones won't cut it. For more information on both, see this nice article:
http://www.pcworld.com/article/2030669/ ... reme-.html
As for the processors and motherboards... Will you connect any PCI cards? In that case, go with Z77A-G41, since only it has PCI connectors. On the other hand, since PCI is being phased out, having extra PCIe slots of Z77A-G45 is useful. The fact that the latter has two PCIe 3.0 slots is an added bonus if you ever want to set up CrossFire (which can be a fair way of upgrading without throwing away existing hardware, although by the time you need to upgrade that way, compatible graphics cards get harder to find than new ones...) The G45 also has its SATA ports tilted in an unconventional manner - you might want to check your chassis layout to see which position you prefer.
And the two processors differ in that the K variant has better graphics (which is utterly useless for you, as you'll have a dedicated graphics card anyway), and the non-K version has VT-d, which can be quite useful later on due to its virtualisation potential (virtual machines with accelerated graphics and such).
Does that mean I should avoid anything that says "mini" and even after reading that article, I'm not sure if I should use HDMI cables or Display Ports... 
. Monitor will cost $400.
Not having to rely on outside hosts for my website would be awesome. Also the ability to freely update the infrastructure, like PHP, SQL etc. versions. And learning about the whole technology in the process. Gentoo Linux is practically made for things like that.