Literary terms

[Tunestar]

What is the word used to describe when the weather reflects the mood or the action in the text?

[Quizmonster]

Personification, perhaps, which is a form of metaphor? That is, something non-human...the weather...is given human...ie mood...qualities. Anthropomorphism might also apply, though that is generally applied to the giving of human characteristics to animals rather than inanimate things such as the weather. 

[Hgrove]

You may be thinking of Romantic as opposed to Classic?  In the Romantic movement (in art/literature/music) the elements matched the events and the characters' feelings.

[davver]

The term you're looking for is pathetic fallacy: when, for instance, a character receives some really bad news and then it starts to rain. It also applies to the description of weather with emotional adjectives, e.g. miserable weather, angry storm clouds.

[Peter Pedant]

If they were making luuurve - then it would definitely be - climactic !