Learn Swedish: Björnen och älgen vill vila i skogen. - The bear and the moose want to rest in the forest.

In Swedish, vill behaves like a helper (modal) verb. Just like you wouldn't say "I can to rest" in English, Swedish drops the word att (to) after vill. You just use vill directly followed by the infinitive verb vila.

All the nouns here end in -en (björnen, älgen, skogen). Is that a pattern?

Yes! These are all "en-words" in their base forms (en björn, en älg, en skog). In Swedish, you make a noun definite (meaning "the" bear, "the" moose, "the" forest) by attaching that en to the end of the word as a suffix.

How is the letter 'g' in älgen pronounced?

In the word älg and its definite form älgen, the 'g' is actually pronounced like a Swedish 'j' (which sounds like an English 'y'). So it is pronounced roughly like "el-yen".

Can vila be both a noun and a verb?

Exactly. Vila can be a verb meaning "to rest" (as it is used here) or a noun meaning "a rest". You can easily tell it is an action here because it follows the helper verb vill.