The chances are good that you will be fine without any precautions but it's best not to take the small chance. Professionals use a conductive strap on one wrist, wired to a grounded conductor. It's not quite as good but you can make your own out of flexible wire, wrapped aroound your bare wrist, tight enough to make near constant contact but loose enough to work and move your hand . The other end should be attached tightly to, ideally, a cold water pipe but more conveniently is the small screw that holds an AC power receptacle face plate on. Obviously be VERY CAREFUl not to insert or let the wire touch the 2 vertical slots in the receptacle. THe right hand one is the "live" side. THe round hole is the normal "ground" and is electriclaly the same as the small screw on the face plate.
As I said the odds of you having trouble without a ground strap are slim. If you cannot ground yourself, you can mimimise the risk by working on the computer in a high humidity room- low humidty encourages static electricity which can damage yoru memory. As well, you can frequently just touch a grounded item like a cold water pipe or tap and move slowly, so your clothing will not build up a charge of static as you move.
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A Parent, old geezer, and occasionally right. Good judgment comes from bad
experience, and a lot of that comes from bad judgment.