Hvis butikken er lukket, går jeg til kiosken i stedet.

Hvis means if in a conditional sentence.

So Hvis butikken er lukket ... means If the shop is closed ...

A useful extra point: Danish usually uses om, not hvis, for whether.

• Jeg ved ikke, om butikken er lukket. = I don’t know whether the shop is closed.
• Hvis butikken er lukket, ... = If the shop is closed, ...

Because Danish main clauses normally follow the verb-second rule.

In this sentence, the whole Hvis butikken er lukket clause comes first. That first clause takes the first position, so the finite verb of the main clause must come next:

• Hvis butikken er lukket, går jeg til kiosken i stedet.

So the order is:

1. fronted element: Hvis butikken er lukket
2. verb: går
3. subject: jeg

If you start with the main clause instead, you get normal subject-verb order:

• Jeg går til kiosken i stedet, hvis butikken er lukket.

Er lukket means is closed.

Here, lukket describes the state of the shop, not the action of closing. So:

• Butikken er lukket = The shop is closed
• Butikken lukker klokken 8 = The shop closes at 8

So in your sentence, Danish is talking about the condition or state of the shop: it is already closed.

It is a past participle of lukke (to close), but in this sentence it functions very much like an adjective.

So er lukket works like is closed in English.

This is very common in Danish:

• Døren er åben = The door is open
• Døren er lukket = The door is closed

You do not need to think too hard about the label at first. The important thing is that er lukket is the normal way to say is closed.

Because Danish usually adds the definite article to the end of the noun.

So:

• en butik = a shop
• butikken = the shop

and

• en kiosk = a kiosk
• kiosken = the kiosk

This is different from English, where the is a separate word. In Danish, the definiteness is often built into the noun itself.

Til usually means to, and it is used here to show movement toward a destination.

So:

• gå til kiosken = go to the kiosk

Compare that with:

• i kiosken = in the kiosk

So til is the natural choice when the speaker is going there.

I stedet means instead.

It is a fixed expression:

• Jeg går til kiosken i stedet. = I go to the kiosk instead.

It tells you that the speaker chooses the kiosk as an alternative.

A related expression is i stedet for, which means instead of:

• Jeg går til kiosken i stedet for butikken. = I go to the kiosk instead of the shop.

Because the sentence begins with a subordinate clause:

• Hvis butikken er lukket

and then moves to the main clause:

• går jeg til kiosken i stedet

The comma marks that boundary. In Danish, this is very normal with clauses introduced by words like hvis, fordi, når, and selvom.

Yes. That is also correct.

It means the same thing, but the emphasis is slightly different because the sentence now starts with the main clause.

Compare:

• Hvis butikken er lukket, går jeg til kiosken i stedet.
• Jeg går til kiosken i stedet, hvis butikken er lukket.

Both are natural. The first version puts the condition first; the second starts with what the speaker does.

Danish often uses the present tense where English might use either the present or the future, especially when the meaning is clear from context.

So:

• Hvis butikken er lukket, går jeg til kiosken i stedet.

can mean something general, habitual, or a future plan depending on context.

If you want to make the future more explicit, Danish can use vil:

• Hvis butikken er lukket, vil jeg gå til kiosken i stedet.

But the simple present is very common and natural.

Not always.

In Danish, kiosk often means a small shop, convenience shop, or newsstand-like place, often one that sells snacks, drinks, cigarettes, newspapers, and similar everyday items.

So in this sentence, kiosken is probably not a little stand in a mall; it is more likely a small local shop the speaker can go to instead of the main shop.