Learn Swedish: Mannen och kvinnan pratar mycket. - The man and the woman talk a lot.

No. In Swedish, verbs have the exact same form no matter who or how many people are doing the action. So whether it is just mannen pratar (the man talks) or mannen och kvinnan pratar (the man and the woman talk), the verb stays exactly the same.

How does the verb-second (V2) rule work here if there are three words before the verb?

The V2 rule says the verb must be the second block of information in the sentence, not necessarily the second single word. Here, the conjunction och groups Mannen and kvinnan together into a single subject phrase. This entire phrase takes up the first position, so the verb pratar sits correctly in the second position.

Why are there endings on mannen and kvinnan?

In Swedish, the word for "the" isn't a separate word before the noun. Instead, it is a suffix attached to the end. En man means "a man", and adding -en makes it mannen (the man). For singular nouns already ending in a vowel like en kvinna (a woman), you just add -n, making it kvinnan (the woman).

I've seen mycket translated as "very". Why does it mean "a lot" here?