Brandvæsenet kommer hurtigt til samlingsstedet.

Yes—brandvæsenet refers to the fire service / the fire department / the fire brigade.

A few useful details:

• brand = fire
• væsen = service, authority, department, institution

So brandvæsenet is literally something like the fire service.

It is a collective noun, so it refers to the organization as a whole, not necessarily individual firefighters. If you wanted to talk about the firefighters, you would usually use a different word, such as brandmændene or more modern alternatives depending on context.

Because -et is the usual definite ending for many neuter nouns in Danish.

So:

• et brandvæsen = a fire department / a fire service
• brandvæsenet = the fire department / the fire service

And:

• et samlingssted = a meeting point / assembly point
• samlingsstedet = the meeting point / the assembly point

Unlike English, Danish often puts the at the end of the noun instead of using a separate word before it.

You usually have to learn the gender of each noun along with the noun itself.

In Danish, nouns are mainly divided into:

• common gender: take en
• neuter: take et

Here:

• et brandvæsen
• et samlingssted

Because they are neuter, their definite singular form ends in -et.

There is not always a reliable way to guess gender from meaning, so learners normally memorize nouns with their article:

• et brandvæsen
• et samlingssted

Because in a normal Danish main clause, the usual order is:

subject + finite verb + adverbial + other elements

So:

• Brandvæsenet = subject
• kommer = finite verb
• hurtigt = adverb
• til samlingsstedet = prepositional phrase

That gives:

Brandvæsenet kommer hurtigt til samlingsstedet.

This is very natural in Danish.

If another element were moved to the front, the word order would change because Danish is a V2 language:

• Hurtigt kommer brandvæsenet til samlingsstedet.

This is possible, but much less neutral and more stylistically marked.

Because it is based on the adjective hurtig (quick / fast) and used here as an adverb.

In Danish, many adverbs are formed by adding -t to the adjective:

• hurtig = quick
• hurtigt = quickly

So:

• en hurtig bil = a fast car
• Bilen kører hurtigt = the car drives fast / quickly

In this sentence, hurtigt describes how the fire department comes, so it is an adverb.

Here, kommer ... til means something like comes to / arrives at / gets to.

So in this sentence, it means the fire department comes to or arrives at the assembly point.

A few important points:

• komme often does mean come
• with til, it can mean come to, reach, or arrive at
• the most natural English translation may depend on context

So all of these can fit depending on the situation:

• The fire department comes quickly to the assembly point
• The fire department arrives quickly at the assembly point
• The fire service gets to the assembly point quickly

Samlingsstedet means the assembly point, the meeting point, or the gathering place, depending on context.

It is built from:

• samling = gathering / assembly
• sted = place
• -et = the definite ending

So literally it is the gathering place or the assembly place.

In safety-related contexts, assembly point is often the best translation.

Because Danish usually expresses the by attaching it to the end of the noun.

Compare:

• English: the fire department

• Danish: brandvæsenet

• English: the assembly point
• Danish: samlingsstedet

This is called the suffixed definite article.

However, Danish can also use a separate definite word such as den, det, or de when there is an adjective before the noun:

• samlingsstedet = the assembly point
• det sikre samlingssted = the safe assembly point

So when there is no adjective, the ending alone is often enough.

Yes, kommer is present tense.

One helpful thing about Danish is that verbs do not change form depending on the subject the way English verbs sometimes do.

So you get:

• jeg kommer = I come / I am coming
• du kommer = you come / you are coming
• han kommer = he comes / he is coming
• vi kommer = we come / we are coming

The form kommer stays the same.

In this sentence, it can mean either a general present or a near-future/present-progressive idea, depending on context.

Yes, that is also possible.

• kommer hurtigt til samlingsstedet = comes / gets / arrives quickly at the assembly point
• ankommer hurtigt til samlingsstedet = arrives quickly at the assembly point

ankommer is a bit more explicitly arrive.
kommer til is very common and natural in everyday Danish.

So both work, but kommer ... til often sounds slightly more ordinary and conversational.

A rough pronunciation guide is:

• Brandvæsenet ≈ BRAN-veh-suh-neth
• æ is somewhat like the vowel in English cat, but not exactly

A few tips:

• brand sounds a bit like English brand, but with Danish pronunciation
• væ has that open æ sound
• senet is not stressed strongly; the stress is mainly earlier in the word

And:

• samlingsstedet ≈ SAM-lings-steh-theth

Exact Danish pronunciation varies a bit by speaker and region, but the most important thing for learners is to notice:

• æ is a distinct vowel
• the definite ending -et is often pronounced lightly
• Danish speech often sounds softer and more reduced than spelling suggests

Because kommer hurtigt til samlingsstedet is already a complete and natural way to express the idea.

Compare:

• Brandvæsenet kommer hurtigt til samlingsstedet
  = The fire department comes/gets/arrives quickly at the assembly point

• Brandvæsenet er hurtigt på vej til samlingsstedet
  = The fire department is quickly on its way to the assembly point

The second version focuses more on being on the way, while the original sentence focuses on reaching/coming to the place. The original is simpler and very idiomatic.