Hi! nice to meet you!! ^^ I didn't realised difference between those two owls until I find your question and answer. lol 올빼미 is owl and 부엉이 is eared owl. I found 부엉이 has ears! I hope this answer is what you are looking for. ^^

A lot of Koreans say that (that 올빼미 don't have ears and 부엉이 have ears). It mostly holds true, but an exception is the 솔부엉이, which has no ear tufts. Still, not a bad rule of thumb.