Despite (or maybe because of) the fact that the vast majority of text that anyone ever sees is either printed or online, calligraphy is a traditional craft that is still alive and kicking today. The most common places you will find it used is on official legal documents and maps – although it's still popular to have calligraphy used on wedding invitations and formal place setting cards. This ensures that there's no shortage of specialist craft shops selling all kinds of calligraphy supplies.
A trusty pen and ink is all you really need to get started in calligraphy. Any old paper will do for practicing your technique, but when you're ready to embark on a real project, calligraphy suppliers will help you choose from a staggering array of different papers. Each different type of paper will have its own particular characteristic, be it colour, weight or texture.
Your choice of pen will make a big difference to your calligraphy experience. The main decision you'll need to make is whether to opt for a traditional nib pen (which has to be dipped in ink regularly) or whether you prefer pens with ink cartridges built in. Whatever your skill or confidence, any craft shop that sells calligraphy supplies should be able to point you in the right direction.