To run multiple displays, you need multiple display connectors. Your motherboard appears to have 3 display connectors built in: VGA, HDMI, and DVI. I would recommend displays with DVI and/or HDMI connectors. You can use inexpensive adapters to convert between these two port types so that you have two identical ports for use with two identical monitors.
VGA is a much older standard that is rapidly being relegated to history. It is an analog signal and while capable of generating a pretty good display, the newer digital standards beat it hands-down. If you need additional connectors for more monitors, I'd recommend getting a low-to-mid-range graphics card with the requisite number of connectors.
Alvine has it wrong. Multiple displays are driven by the graphics hardware which may very well be located on a discrete graphics card but your motherboard features built-in graphics hardware which is more than capable for browsing, productivity apps, and watching video.
I know this is a pretty basic question for most on these forums. I'm a newbie (maybe wannabe) builder just wanting to avoid spending money on incompatible parts and/or hardware that will not support what I want it to do.