-에 비해서/ -에 비하면: "(as) compared to"
The pattern '-에 비해서/ -에 비하면' indicates similarities or differences between values or qualities and it means 'compared to' or 'in contrast with'.
예) 건강이 전에 비해서 좋아 졌어요 : Compared to before, my health has been better.
예) 동생에 비하면 형이 아주 작아요. : Compared to his younger brother, his older brother is much bigger.
The pattern '-곤 하다' is used mostly with action verbs, and indicates an action which one does from time to time, on a semi-regular but infrequent basis.
1) When '-곤 하다' is used in the present tense, it means '(one) does something every now and then'. It is used mostly with words such as '가끔(from time to time)' or '이따금(occasionally)'.
예) 저녁에 가끔 개하고 산보하곤 합니다. I sometimes go for a walk with my dog in the evening.
예) 가끔 그 분을 만나곤 합니다. I meet him every once in a while.
2) When '-곤 하다' is used in the past tense, it means '(one) used to do something every now and then'.
예) 할머니 집에 가서 놀곤 했어요. I used to go to my grandmother's home to play.
예) 어렸을 때, 동생과 싸우곤 했어요. When I was a child, I used to quarrel with my younger brother.