Kommer du hem direkt efter jobbet, eller stannar du i centrum?

In Swedish, yes: kommer is the present tense of komma (to come). But Swedish uses the present tense a lot where English would use a future meaning.
So Kommer du hem …? can mean Are you coming home …? (often referring to later today, e.g., after work). Context supplies the time.

Because it’s a yes/no question, Swedish typically uses inversion: the verb comes first, then the subject.

• Statement: Du kommer hem direkt efter jobbet. = You come home right after work.
• Question: Kommer du hem direkt efter jobbet? = Are you coming home right after work?

hem means (to) home in the sense of movement toward home (direction).
Swedish often distinguishes:

• hem = homeward / to home (motion)
• hemma = at home (location)

So:

• Kommer du hem …? = Are you coming home …?
• Är du hemma …? = Are you at home …?

Without hem, the sentence would feel incomplete because you’re “coming” but not saying where.

jobbet is the definite singular form of jobb:

• ett jobb = a job
• jobbet = the job

In everyday Swedish, efter jobbet commonly means after work (the workday), not necessarily “after the job” in a literal sense.

Yes. arbete is a more general word for work/labor, and it can sound a bit more formal or “work-as-a-concept.”

• efter jobbet = very common, everyday “after work”
• efter arbetet = also correct, slightly more formal/neutral

Both are fine; efter jobbet is probably what you’ll hear most.

Because it’s a full verb form in the present tense:

• infinitive: att stanna = to stay
• present: stannar = (you) stay / (are you) staying

In the sentence, stannar du i centrum? is another inverted question clause, so it needs the present-tense verb stannar.

Usually yes: i centrum means in (the) city center / downtown.
Swedish often uses centrum without an article in this kind of fixed phrase. Depending on context, it could be a town’s center, a shopping area, or the downtown district.

It’s common and acceptable because the sentence contains two full question clauses:

• Kommer du …, eller stannar du …?

In more informal writing, people sometimes skip the comma, but using it is a safe, standard choice when the parts are full clauses.

Yes, Swedish allows some flexibility, but it affects what sounds most natural or what’s emphasized. Common options:

• Kommer du hem direkt efter jobbet… (very natural)
• Kommer du hem direkt efter jobbet, eller… (neutral)
• Kommer du direkt hem efter jobbet… (emphasizes direkt a bit more)

Swedish tends to place short adverbs like direkt fairly early, but hem direkt is also very idiomatic.

You can use ni (plural “you,” also used as a polite form in some contexts), with the same inversion:

• Kommer ni hem direkt efter jobbet, eller stannar ni i centrum?

That said, modern Swedish usually uses du with most people, even strangers, unless a situation is especially formal.