meaning of '' with her one gets a fresh start, this time is the one that counts''
with her, one always gets a fresh start, this time is the one that counts.
There are two uses of the word "one". They refer to different things. The first is the impersonal 3rd person pronoun - it is used like "someone". The second refers to "the time" and is used to avoid repetition.
Paraphrase
"with Nature, a person always gets a fresh start, this time is the time that counts."