Need help breaking down this sentence to understand it


Please break down each part of this sentence so that I can better understand what is going on here.
Thanks in advance.

ふじ山がやまびらきする is a noun-modifying phrase that’s modifying 月 (in the same way that, to use an example, “the house that Jack built”, “that Jack built” is a phrase that’s modifying “the house”).

So, ふじ山がやまびらきする = Mount Fuji opens (for climbing)

ふじ山がやまびらきする月 = The month that Mount Fuji opens

六月はふじ山がやまびらきする月です。 = June is the month that Mount Fuji opens.