In some countries, UPS does run on Good Friday, and in others it doesn't. So it may depend on where you live, and also where the package you're sending or receiving is arriving.
In the United States, UPS only observes and stops services for about 8 holidays a year, and Good Friday isn't one of them. So if you're sending or receiving a package in America, then you shouldn't have any problems.
If, however, you're either sending or receiving a package in the United Kingdom, then you'll find that UPS doesn't run on Good Friday or Easter Monday, so you may want to arrange your package to avoid that weekend, if possible.
Because it varies from country to country, I'd recommend going to the UPS website, choosing the right country, and then running a search for the word 'holiday' at the top. It should give you a holiday schedule for the entire year, telling you which holidays will be observed.