Glasses dispensed for reading often don't work well for computer use. Historically "reading" meant looking at a book held in your hands, but computer monitors are further away and at a higher angle than a book. If you spend a lot of time using a computer, you need to discuss this with your dispensing optician when you buy glasses to make sure you get the right lenses for your needs. You may benefit from a dedicated pair of glasses for computer use, or a properly designed varifocal lens. This is especially important if you're over 35 and are likely to have some degree of presbyopia (look for an "add" value on your prescription, or different prescriptions for near and distance).
There are a lot of special lens technologies and coatings that are advertised as being able to reduce eye strain when using digital devices. Most of these have little or no evidence to support their efficacy, so be wary if they try to upsell you on expensive extras.