I am fairly new to Linux, and more specifically Linux-Lite, so I am not sure if this is the way it's supposed to be. In the systems section off the main menu, there is no install/remove  part to the menu. The reason for this inquiry is that I am trying to install programs and are unable to do so.
 
Hello!
Welcome to Linux Lite! 
This might be in the manual, but I'm not a 'RTFM' kind of guy, so here you go...
The Install/Remove Software icon runs a program called Synaptic Package Manager. You can run Synaptic by
selecting Menu > Run Program and typing
gksu synaptic
in the long rectangular box. If checked, uncheck the 'Run in Terminal' box. A window will appear to type in the sudo (root) password.
Additionally, you can use Lite Software Center to install programs (Menu > System > Lite Software Center).  This assumes your icon for this is there. 
A third option is simply opening a terminal (CTRL-ALT-T) and typing 
Code:
sudo apt-get install <package name>
to install, or remove software with
Code:
sudo apt-get remove <package name>
All Synaptic is just a GUI for apt, to make things easier.
If you're missing a LOT of icons, a reinstall might be in order...
73 DE N4RPS
Rob
 
Click Menu -> Help Manual and look under the Software tab.  You may want to install the "Lite Software Center" because that will make it easier to find programs.
Edit:  Didn't see N4RPS's reply until I posted mine.  In this case, I would recommend reading the manual because it will help your understanding of the methods N4RPS has described.