Efter intervjun hoppas hon få ett kontrakt som börjar i höst.

Because the sentence starts with a time phrase (Efter intervjun = “After the interview”), Swedish applies the V2 rule: the finite verb must be in position 2.

• Position 1: Efter intervjun
• Position 2 (finite verb): hoppas
• Then the subject comes after: hon

So Efter intervjun hoppas hon ... is the normal, correct word order.

intervjun is the definite form of intervju (“interview”).

• en intervju = “an interview”
• intervjun = “the interview”

Here it’s understood as a specific interview that just happened, so Swedish commonly uses the definite form.

Swedish often uses the plain definite noun when the reference is clear:

• Efter intervjun = “After the interview” (the one we’ve been talking about)

You can say Efter den intervjun if you want extra emphasis/contrast (≈ “after that interview (specifically)”), but it’s less neutral.

After hoppas, Swedish often uses an infinitive clause without att in everyday style:

• hon hoppas få ett kontrakt = “she hopes to get a contract”

Alternatives that are also possible:

• hon hoppas att få ett kontrakt (works, slightly more formal/bookish)
• hon hoppas att hon får ett kontrakt (a full clause; very common too)

få here means “get/receive/obtain” (i.e., succeed in getting offered something).

• få ett kontrakt = “get a contract” (be offered/receive one)
• ha ett kontrakt = “have a contract” (already possess one)

So få matches the idea that it’s not secured yet.

Because kontrakt is a neuter (ett-) noun.

• ett kontrakt
• kontraktet (the contract)

Swedish nouns have grammatical gender, and the article must match it.

som is a relative pronoun meaning “that/which”, introducing a relative clause describing ett kontrakt:

• ett kontrakt som börjar i höst = “a contract that starts in the autumn”

In Swedish, som is especially common/expected when it functions as the subject inside the relative clause (here: the contract is what starts).

Swedish often uses the present tense for planned/scheduled future events, especially with a clear time expression:

• som börjar i höst = “that starts this autumn”

You can also say:

• som ska börja i höst (more explicitly future: “that will/is going to start this autumn”)

Both are natural; börjar is very common here.

i höst usually means “this coming autumn” (the next autumn relative to now). If you mean “in autumn (in general),” you’d more likely say:

• på hösten = “in (the) autumn” as a general seasonal statement

If you mean last autumn:

• i höstas = “last autumn”

Sometimes, but there’s a nuance:

• i höst = “in/this autumn” (the time when it happens)
• till hösten = “by autumn / for autumn / when autumn comes” (often implies a change that will be in place by then)

With börjar, i höst is the most straightforward choice.

Both can work, but hoppas + infinitive (without att) is especially common and concise. With att, many speakers prefer to expand to a full clause:

• Efter intervjun hoppas hon att hon får ett kontrakt ...

That said, Efter intervjun hoppas hon att få ett kontrakt ... is possible too, just a bit more formal/stilted to some ears.

Common pronunciation notes:

• intervjun: stress usually on the last syllable of the base word (interVJU), and the definite ending is a light -n.
• höst: the ö is a Swedish vowel (roughly like the vowel in English bird for many learners, but with Swedish rounding), and st is crisp at the end.