new vs freshly

new is an adjective but freshly is not an adjective.

Word	Noun	Adjective	Verb	Adverb
new	No	Yes	No	Yes
freshly	No	No	No	Yes

As adverbs, new and freshly are synonyms defined as:

Other synonyms of new include fresh, newly.

new (adjective)	freshly (adjective)
not of long duration; having just (or relatively recently) come into being or been made or acquired or discovered
unaffected by use or exposure
(of crops) harvested at an early stage of development; before complete maturity
lacking training or experience
original and of a kind not seen before
other than the former one(s); different
(often followed by `to') unfamiliar
having no previous example or precedent or parallel

new (adverb)	freshly (adverb)
very recently	very recently
	in an impudent or impertinent manner