In PC's, memory upgrades are fairly straightforward, but there are traps and pitfalls. The PC memory that is typically found on the motherboard is volatile, so there's nothing in them when power is off.

Yes, you should be cognizant of static electricity issues and take precautions, like using the anti static bags, discharging any potential built up charges, etc.

Be sure you have compatible memory. Not just the physical ability to plug it into the slot, but also whether it's the right buss speed for your computer, whether it's ECC (which is generally for servers) ram, and whether your computer's BIOS wants to see "matched pairs" of memory. Most memory sales websites will show you what spec ram you need for a particular brand.