Theres a bit more to it than that.
Copy pasting my reply from a previous thread on this
森：樹木が多くこんもりと生い茂っている所。
林：樹木がたくさん群がって生えている所。
森 is more dense and overgrown. Ever heard of the aokigahara forest thats been in the news because of the vlogger stuff? Thats a 森. Here are pictures
and heres a 林
See the difference?
森 can also describe a natural kind of forest area whereas 林 is manmade/manplanted.「森」は「盛り」。自然にモリモリ盛り上がったもの.「林」は「生やし」。人が生やしたもの。
EDIT: Heres the thread if you wanna read more 森 vs 林 - which is more forest?