I think you first need to go to a local archery store that has a place to shoot. Try out a compound with sights and a release. Try a recurve if they have one with fingers and no sights. Your question is like," I've never worn shoes, do I need sneakers or boots?" The answer is "it depends on what you feel you need/want".

I started before compounds were available so I used a recurve and still enjoy shooting them. Compounds are easier on my tired old body so I shoot them as well. Your decision should be based on experience because there is a serious commitment (both money and time) to shooting. You need a bow ($200 minimum), arrows that match the bow ($30 minimum), release and sights for the compound ($60 minimum), target, quiver .......

My recommendation would be to get an entry level compound. Much shorter learning curve and easier to be accurate than traditional equipment. The key is HAVE FUN and know that people rarely (if ever) buy their first rig and 40 years later are still shooting that same bow exclusively. Many buy a new bow every year. I don't understand this behavior but it does make many like new bows available to beginners like yourself.