Ég fer með hundinn út í garðinn í kvöld.

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Breakdown of Ég fer með hundinn út í garðinn í kvöld.

• hundurinn: the dog
• garðurinn: the garden
• í kvöld: tonight

Questions & Answers about Ég fer með hundinn út í garðinn í kvöld.

Why does fer mean something like a future plan in this sentence?

Icelandic often uses the present tense to talk about the near future (especially with time expressions like í kvöld). So Ég fer ... í kvöld is literally present tense (I go), but naturally understood as I’m going ... tonight. You can also express futurity more explicitly, but the present tense is very common here.

What is the verb phrase fara með doing here? Why not just fara?

Fara by itself is simply to go/travel.
Fara með X is an idiomatic construction meaning to take X (along)/to bring X with you. So:

• Ég fer út = I go out.
• Ég fer með hundinn út = I take the dog out (with me).

Why is it hundinn and not hundur?

Hundinn is:

• hundur (dog) in the accusative case
• with the definite article attached (-inn = the)

You get accusative because hundinn is the direct object of the “take/bring along” idea in fara með.

Is með always followed by the accusative?