Getum við hist við bensínstöðina á morgun?

In Icelandic yes/no questions, the finite verb usually comes first.

• Við getum hist ... = We can meet ...
• Getum við hist ...? = Can we meet ...?

So the word order changes because this is a question.

Getum is the present tense, 1st person plural form of geta, which means can / be able to.

Because the subject is við = we, the verb has to match it:

• ég get = I can
• við getum = we can

The dictionary form is að hittast, meaning to meet each other / to meet up.

After geta, Icelandic uses a special verb form often called the supine. For hittast, that form is hist.

So:

• að hittast = to meet
• við getum hist = we can meet

This is one of those patterns that English speakers usually just have to get used to.

No. You do not use að here.

The dictionary form is að hittast, but after geta you say:

• getum hist
• not getum að hittast

So the sentence is correct as written.

Because hitta and hittast are not exactly the same.

• hitta usually means meet someone or find someone, and it normally takes an object
  
  • Við getum hitt Jón = We can meet Jón
• hittast / hist means meet each other / meet up

Since the subject here is we, the reciprocal idea meet each other is the natural one, so hist is the right choice.

They are two different words that just happen to look the same.

• við after getum = we
• við before bensínstöðina = by / at / near

So the sentence contains both the pronoun we and the preposition by/at.

No. In this sentence, the second við means by / at / near a place.

So:

• við bensínstöðina = by the gas station

Even if you have seen við with other meanings before, here it is clearly a location preposition.

Because bensínstöðina means the gas station, not just gas station.

The ending shows that the noun is definite. Icelandic usually puts the at the end of the noun instead of using a separate word.

• bensínstöð = gas station
• bensínstöðin / bensínstöðina = the gas station

So the sentence is talking about a specific gas station.

That ending is doing more than one job.

It shows:

1. definiteness: the
2. case: here, the accusative singular

So bensínstöðina means the gas station in the form required by the preposition used here.

Because the preposition við takes the accusative.

So after við, you need the accusative form:

• við bensínstöðina

This is something learners need to memorize with prepositions, because Icelandic case usage often does not match English patterns.

við bensínstöðina means by / at / near the gas station, which is very natural when talking about a meeting point.

á bensínstöðinni would mean at the gas station, but with a slightly different feel, often suggesting being there on the premises more directly.

For Let’s meet by that place, við bensínstöðina is a very natural choice.

Á morgun is a very common fixed expression meaning tomorrow.

Even though morgun is related to morning, the whole phrase should usually be learned as one unit:

• á morgun = tomorrow

So in this sentence, it simply tells you when the meeting would happen.