Jeg vil også gerne høre interviewet i radioen i aften.

Because vil is a modal verb, and in Danish modal verbs are followed directly by the infinitive without at.

So:

• Jeg vil høre = I want to hear
• not Jeg vil at høre

This is similar to English, where you say I can hear, I must go, I will come, not I can to hear.

Common Danish modal verbs include:

• vil = want to / will
• kan = can
• skal = shall / have to
• må = may / must
• bør = ought to

Here vil gerne usually means would like to or want to, not just simple future.

• Jeg vil høre interviewet = I want to hear the interview / sometimes I will hear the interview
• Jeg vil gerne høre interviewet = I would like to hear the interview

Adding gerne makes it sound softer and more natural, much like English would like to.

So in this sentence, vil gerne is best understood as a polite or natural way to say want to.

Gerne often means something like:

• gladly
• with pleasure
• or it helps create the sense of would like to

In this sentence, it does not mean gladly in a strong emotional sense. It mainly softens vil and makes the sentence sound more natural:

• Jeg vil høre interviewet = more direct
• Jeg vil gerne høre interviewet = softer, more like I’d like to hear the interview

You will often see gerne in sentences like:

• Jeg vil gerne have kaffe. = I’d like coffee.
• Jeg kommer gerne. = I’ll gladly come.

In this sentence, også means also, and it comes before gerne because it modifies the whole wish or action:

• Jeg vil også gerne høre interviewet = I would also like to hear the interview

This order is very natural in Danish.

If you move også, the emphasis can change. For example:

• Jeg vil også gerne høre interviewet = I also want to hear it
• Jeg vil gerne også høre interviewet = possible, but less natural in many contexts

For learners, vil også gerne is a very useful and common pattern to remember.

Danish distinguishes between høre and lytte (til) much like English distinguishes hear and listen (to).

• høre = hear
• lytte til = listen to

In real usage, høre is often used when talking about hearing something on the radio, in a conversation, or as part of a program:

• Jeg hørte det i radioen. = I heard it on the radio.

If you say lytte til interviewet, that puts more focus on actively listening:

• Jeg vil gerne lytte til interviewet i radioen i aften. = I’d like to listen to the interview on the radio tonight.

So høre is completely natural here.

Interviewet is the definite form, meaning the interview.

The noun is et interview:

• indefinite: et interview = an interview
• definite: interviewet = the interview

This is a basic Danish pattern for many neuter nouns:

• et hus → huset
• et brev → brevet
• et interview → interviewet

Unlike English, Danish often adds the definite article as an ending instead of using a separate word like the.

For the same reason: radioen means the radio.

The base noun is en radio:

• indefinite: en radio = a radio
• definite: radioen = the radio

This is the common definite pattern for many common-gender nouns:

• en bil → bilen
• en avis → avisen
• en radio → radioen

So:

• i radioen = literally in the radio, but idiomatically on the radio

This is just an idiomatic difference between Danish and English.

English says:

• on the radio

Danish normally says:

• i radioen

Even though i usually means in, the whole phrase i radioen is the normal way to express on the radio.

You should learn it as a fixed expression, just like:

• i fjernsynet = on TV

Trying to translate the preposition word-for-word from English often leads to unnatural Danish.

I aften is the standard expression for tonight.

It works like a fixed time phrase:

• i dag = today
• i morgen = tomorrow
• i aften = tonight

You do not normally use the definite form here.

Compare:

• i aften = tonight
• om aftenen = in the evening / in the evenings

So in this sentence, i aften specifically means tonight.

Yes. Danish often places adverbial phrases like place, medium, and time toward the end of the sentence.

Here:

• interviewet = object
• i radioen = where/how medium
• i aften = time

So the sentence structure is very natural.

You could move things around for emphasis, for example:

• Jeg vil også gerne høre interviewet i aften i radioen.

But that sounds a little less natural because i radioen belongs closely with høre interviewet, and i aften works very smoothly as the final time phrase.

It can correspond to both, depending on context, but I would also like to hear... is often the best natural translation because of gerne.

Roughly:

• Jeg vil høre... = I want to hear... / I will hear... depending on context
• Jeg vil gerne høre... = I would like to hear...
• Jeg vil også gerne høre... = I would also like to hear...

So if the meaning shown to the learner is I would also like to hear the interview on the radio tonight, that is a very good translation.

Usually yes: interviewet is pronounced with an extra ending compared with interview.

Very roughly, learners may hear it as something like:

• interview → base word
• interviewet → base word + a weak -et ending

In careful speech, the ending is there, but in fast spoken Danish it may sound reduced.

The important learner point is grammatical: even if the ending is not strongly pronounced, it still marks the definite form the interview.