Research at the undergraduate level is not only uncommon.. its often close to a necessity for applying to med school and dental school! Most schools have opportunity for it and it is very important to become involved if you can. Make sure to ask direct questions about it, some schools boast about it, but when you start asking questions it becomes apparent its a lot harder than you think to get involved in it. Ask current (upper-division) students how hard it is to become involved, don't ask an incomming freshman