Na recepcji czeka miła recepcjonistka i daje gościom identyfikatory.

In Polish, na recepcji is the normal, idiomatic way to say at the reception / at the front desk.

Even though na often means on, here it does not mean physical contact with a surface. Polish uses na with certain places and work areas, especially when thinking of them as a post, station, or service point.

So:

• na recepcji = at reception / at the front desk
• na poczcie = at the post office
• na uniwersytecie = at the university

W recepcji would sound less natural in this context. It could only make sense in very specific situations where you mean inside the reception area/room rather than at the reception desk.

Because na is followed here by the locative case, since it expresses location.

The basic form is:

• recepcja = reception

After na in the sense of at/in, it changes to locative singular:

• na recepcji = at reception

So the pattern is:

• recepcja → na recepcji
• ulica → na ulicy
• poczta → na poczcie

This is a normal case ending, not an irregular special phrase.

Because both words describe the subject of the sentence, so they are in the nominative singular feminine.

• recepcjonistka = receptionist
• miła = nice / kind

Since recepcjonistka is:

• singular
• feminine
• nominative

the adjective must match it:

• miła recepcjonistka

This is called agreement. In Polish, adjectives usually match the noun in:

• gender
• number
• case

Both verbs are in the 3rd person singular present tense, because the subject is miła recepcjonistka = a nice receptionist.

So:

• czeka = she waits / is waiting
• daje = she gives / is giving

Polish usually does not need a subject pronoun like ona (she) if the subject is already clear.

So instead of saying:

• Miła recepcjonistka czeka i ona daje...

Polish simply says:

• Miła recepcjonistka czeka i daje...

That sounds much more natural.

Because gościom is in the dative plural, and the verb dawać (to give) normally takes:

• a direct object in the accusative: what is given
• an indirect object in the dative: to whom it is given

Here:

• identyfikatory = badges/IDs → what is being given
• gościom = to the guests → who receives them

So:

• daje gościom identyfikatory = gives the guests badges / gives badges to the guests

The base noun is:

• gość = guest

Its plural is:

• goście = guests

And the dative plural is:

• gościom = to the guests

Because identyfikatory is the accusative plural, used here as the direct object of daje.

The singular noun is:

• identyfikator = ID badge / identifier / pass

Plural nominative:

• identyfikatory

For many masculine inanimate nouns, the accusative plural is the same as the nominative plural. So here:

• nominative plural: identyfikatory
• accusative plural: identyfikatory

That is why the sentence uses:

• daje gościom identyfikatory

Yes. These are forms of the same noun:

• gość = guest
• goście = guests
• gościom = to the guests

The changes may look big at first, but this is normal in Polish. Nouns often change their endings — and sometimes part of the stem too — depending on case and number.

A useful mini-paradigm is:

• gość — singular nominative
• gościa — singular genitive/accusative
• goście — plural nominative
• gości — plural genitive
• gościom — plural dative

So yes, gościom may look very different from goście, but it is completely regular for this noun type.

Yes. Polish word order is more flexible than English because the case endings show the grammatical roles.

The original sentence:

• Na recepcji czeka miła recepcjonistka i daje gościom identyfikatory.

is natural and neutral.

You could also say:

• Miła recepcjonistka czeka na recepcji i daje gościom identyfikatory.
• Gościom daje identyfikatory miła recepcjonistka czekająca na recepcji.
  This is more marked and stylistically heavier.

Changing the order usually changes emphasis, not the core meaning.

For example:

• Na recepcji czeka... emphasizes where
• Miła recepcjonistka czeka... emphasizes who

Because daje is from the imperfective verb dawać, which is the normal choice when describing:

• an ongoing action
• a repeated/habitual action
• a general scene

This sentence sounds like a description of what is happening at reception, or what the receptionist typically does.

Compare:

• daje = gives / is giving
• da = will give / gives once and completes the action

A perfective form such as da would not work well here if you are simply describing the situation in the present.

So daje gościom identyfikatory means something like:

• she gives guests badges
• she is handing out badges to guests

Because Polish has no articles.

English needs words like:

• a
• an
• the

Polish does not. So:

• miła recepcjonistka can mean a nice receptionist or the nice receptionist
• identyfikatory can mean ID badges, the badges, or sometimes just badges, depending on context

Polish relies on:

• context
• word order
• intonation
• sometimes demonstratives like ten / ta / to if needed

So the lack of a/the is completely normal.

Yes. Polish present tense often covers both a simple present and a present continuous meaning.

So:

• czeka can mean waits
• czeka can also mean is waiting

Likewise:

• daje can mean gives
• daje can also mean is giving

You decide from the context which English translation fits better. In a sentence describing the current scene, English often prefers is waiting and is giving, but Polish just uses the normal present tense form.