Learn Danish: Bedstemoren vil besøge os til efteråret. - The grandmother wants to visit us in the autumn.

The preposition til followed by a season in its definite form (efteråret) is used to talk about the next or upcoming season. Because she wants to visit in the future, we use til efteråret. If we were talking about an autumn in the past or present, we would use i efteråret.

Does "vil" mean "will" or "wants to" in this sentence?

Here, vil means "wants to". While vil can sometimes act like the English future tense "will", it very often expresses a wish or intention. The translation "wants to visit" fits best because it shows her active intention to come see us.

How does the word "Bedstemoren" get its "the" meaning?

In Danish, "the" is attached to the end of the noun. The base word is bedstemor (grandmother). Because it is a common gender word (an en word), we add -en to the end to make it bedstemoren (the grandmother).

Why does "besøge" end in "-e" instead of the present tense "-er"?

When a main verb follows a modal verb like vil (wants to), it must be in the dictionary form (the infinitive). So we use besøge instead of the present tense besøger, just like we say "wants to visit" rather than "wants to visits" in English.