Very newbie in the field of electronics and starting to learning about it and playing with EasyEDA.
I'm copying a schematic and can't find the component I show in the 
named NM. What is it?
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That's a 2 pin header. It's used so you can program the EEPROM - pulling WP low on 24Cxx EEPROMs allows write access. It looks something like this:
The spacing between the pins is 2.54 mm (0.1"), and you connect the two pins together when you want to write to the EEPROM.
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"NM" is likely to be an abbreviation for "not mounted" i.e. the symbol represents two solder pads in the circuit board that don't have a component fitted. The pin called "WP" on the CAT24C32 stands for "write protect" and without a solder link or header and bridge fitted (that pulls WP down to 0 volts) the chip cannot be written to. It's a form of protection as the name implies: -
Of course you can solder a two pin header to the PCB solder pads - it's optional but, on the schematic shown in the question, it's likely that there isn't a header fitted.
Does it have a standard name? I can't find it in EasyEDA to draw it
In EasyEDA you are probably looking for something with a name like this:
