Przesyłka jest tutaj.

Przesyłka usually means shipment, delivery, or parcel/postal item, depending on context.

It is a broader word than paczka:

• przesyłka = a mailed or shipped item in general
• paczka = a package/parcel, often more concrete and everyday

So in this sentence, Przesyłka jest tutaj can mean something like The shipment is here or The parcel is here.

Jest is the 3rd person singular form of być (to be) in the present tense.

Because przesyłka is:

• singular
• grammatically feminine
• the subject of the sentence

the correct form is jest:

• przesyłka jest = the shipment is

It is in the nominative case because it is the subject of the sentence.

The basic dictionary form is:

• przesyłka = nominative singular

In Przesyłka jest tutaj, the sentence is saying something about the shipment, so przesyłka stays in the nominative.

Polish does not have articles like a or the.

So:

• przesyłka can mean a shipment or the shipment

Which one is meant depends on context. In many situations, English would naturally translate it as the shipment.

Tutaj means here.

It is very close in meaning to tu, which also means here. In most everyday situations, they are interchangeable:

• Przesyłka jest tutaj
• Przesyłka jest tu

Both are natural.

A very rough difference:

• tu = shorter, a bit more neutral or conversational
• tutaj = slightly fuller or a bit more emphatic

But in normal speech, the difference is usually small.

Normally, no.

In this sentence, jest is needed:

• Przesyłka jest tutaj = correct
• Przesyłka tutaj = sounds incomplete in standard Polish

Polish sometimes drops forms of to be in certain structures, but not normally in a sentence like this with tutaj as the location.

Yes. Polish word order is more flexible than English, and changing it often changes the emphasis, not the basic meaning.

Examples:

• Przesyłka jest tutaj. = neutral: The shipment is here.
• Tutaj jest przesyłka. = emphasis on here / on location
• Jest tutaj przesyłka. = can sound like There is a shipment here

So the original order is a very natural neutral sentence.

Not exactly.

• Przesyłka jest tutaj focuses on a specific shipment being here.
• Jest tutaj przesyłka can sound more like There is a shipment here.

So Polish can express a similar idea in different ways depending on whether you are identifying something specific or simply saying that something exists in a place.

A rough pronunciation guide is:

psheh-SIHW-ka yest TOO-tai

A few notes:

• prz sounds roughly like psh/zh together
• sył has a sound like Polish y, which is not the same as English ee
• j in Polish sounds like English y in yes
• tutaj is pronounced roughly TOO-tai

Stress in Polish usually falls on the second-to-last syllable:

• przeSYŁka
• jest
• TUtaj

In the present tense, być uses the same 3rd person singular form jest for all singular genders.

So you get:

• On jest tutaj. = He is here.
• Ona jest tutaj. = She is here.
• Ono jest tutaj. = It is here.
• Przesyłka jest tutaj. = The shipment is here.

Gender matters in Polish in many places, but not in this particular verb form.

Usually, yes: it most naturally means that the shipment is here, in this place.

But depending on context, it can also imply arrival or availability, for example:

• the parcel has arrived
• the delivery is now here
• the shipment is on site

So the exact nuance depends on the situation.

A very natural casual version is:

Przesyłka już tu jest.

This adds już (already / now) and sounds like:

• The shipment is here now
• The parcel has arrived

You could also simply say:

• Przesyłka tu jest.

But Przesyłka jest tutaj is already completely normal and natural.

Here it is:

• ja jestem = I am
• ty jesteś = you are
• on / ona / ono jest = he / she / it is
• my jesteśmy = we are
• wy jesteście = you are
• oni / one są = they are

So in your sentence, jest is used because przesyłka is singular:

• Przesyłka jest tutaj.