can i use dual monitors on my iMac?

Welcome to Apple Support Communities

A Late 2013 iMac comes with Thunderbolt, so you have to look for the ports the monitor has got and buy a Mini DisplayPort adapter to connect your monitor to the computer. Most monitors have got DVI, HDMI or VGA, but I recommend you to use HDMI if your monitor is supported. See > http://support.apple.com/kb/HT4241?viewlocale=en_US

The monitor will show up image after connecting it to the computer. See > http://support.apple.com/kb/HT5019

It depends on what type of input your monitor has. Way to go in using an extra monitor by the way.

If it is an HDMI input you need a thunderbolt to HDMI like this.

If it is anDVIthen you probably just want the converter that you can get in any apple store or online.

If it is a VGA you can also get it at any apple store or online. Come to think of you can get the HDMI at the apple store as well because I purchased one there when I got my apple TV.

Is the second monitor just and identified display..or can the mouse move over to it ..allowing a second fully functional work area?