The most important thing will be the voltage selection. In the US a lot of 120V stuff is used, so verify and fix that voltage setting when you get your DMM.
As for the protective earth. It's sort of important, and a bit more so when working with electronics. It's also important for PC's.
Here in the EU, mains voltage sockets both with and without protective earth are used. In my living room where I wanted to use my PC and my electronics workbench, there was no PE, so I pulled the GND and phase wires out of the tubing, added an earth wire, and then put them all 3 back in the pipe, and I changed the wall sockets. In the metering cabinet there is usually a connection for PE.
If you don't have PE on a regular PC, then you may feel a tingling feeling when you touch it. This is because there are filter capacitors connected between PE and both live wires (or Live and GND). As a result, PE (and the whole outer case of the PC) has half of the mains voltage when the PE wire is not connected externally.
I'm not familiar with electrical installations in Lebanon, but I guess it's not the most developed country. If you don't have a PE connection in your house at all, you can make your own. You can make it from a copper water pipe of a few meters long, and then drive it vertically into the GND (of course depending on local GND conditions).
There are different ways of getting such a pipe in the ground, one way is to connect it to a pump, and then force a lot of water throught the pipe. The water will wash away the soil at the end of the pipe, so you can sink it slowly into the ground. Another way is to make (buy?) an adapter for a hammer drill, and then use the hammer drill to push the pipe into the ground. First dig a shallow pit, so you can connect the PE wire to the pipe under the ground, and you can cover it up without anything visible above ground. You can search youtube for video's about the details.
In the old days PE was sometimes connected to the water distribution network, but as plastic water pipes have become more common over the last 50 years, this is now deprecated where I live.