What this suffix does
The suffix -ly takes an adjective and turns it into an adverb: a word that describes HOW an action is done. From "slow" you get "slowly"; from "quick" you get "quickly"; from "careful" you get "carefully".
Adverbs in -ly answer the question "how?". He drives slowly. She speaks clearly. If you know the adjective, you already know the adverb: just add -ly.
The Spanish speaker advantage
Almost every English adverb ending in -ly maps directly to a Spanish adverb ending in -mente.
slowly = lentamente
quickly = rápidamente
clearly = claramente
perfectly = perfectamente
This means if you already know the English adjective, you get the adverb for free. No extra memorisation needed: adjective + ly = adverb.
Watch out: not every -ly word is an adverb
Two traps to avoid. First: some -ly words are adjectives, not adverbs: friendly, lovely, lonely, lively. These describe nouns, not verbs.
Second: "fast", "hard", and "late" are already adverbs without -ly. "fastly" does not exist. He runs fast (not fastly). She works hard (not hardly, which means "barely").