Jeg går hen til min datter for at se til hende.

Hen adds a sense of movement toward someone or something.

So:

• jeg går til min datter can sound less natural in this context, and may even be understood differently depending on context.
• jeg går hen til min datter clearly means I walk/go over to my daughter.

In everyday Danish, hen often appears in expressions of movement toward a person or place:

• gå hen til døren = go over to the door
• kom hen til mig = come over to me

It is not always absolutely required, but it is very common and natural here.

In Danish, when a noun has a possessive word before it, you normally do not add the definite ending.

So:

• min datter = my daughter
• datteren = the daughter

You use one or the other, not both together in normal Danish.

Compare:

• min bil = my car
• bilen = the car

This is different from English, where possession and definiteness work differently.

For at means in order to or to, and it introduces a purpose.

So:

• Jeg går hen til min datter for at se til hende
  = I go over to my daughter to check on her

It answers the question why?

• Why am I going over to my daughter?
  For at se til hende.

This is a very common structure in Danish:

• Jeg kom for at hjælpe. = I came to help.
• Hun gik ud for at købe mælk. = She went out to buy milk.

No. Se til is an idiomatic expression here, and it does not simply mean see with your eyes.

In this sentence, se til hende means something like:

• check on her
• see how she is
• look in on her

So se til functions more like a fixed expression than a literal see + to translation.

This is important because Danish often has verb expressions whose meaning is not fully predictable from the individual words.

Because hende is the object form of the pronoun, while hun is the subject form.

• hun = she
• hende = her

Here, the pronoun comes after the expression se til, so it is not the subject of the sentence. It is the object, so Danish uses hende.

Compare:

• Hun sover. = She is sleeping.
• Jeg ser hende. = I see her.
• Jeg ser til hende. = I check on her.

The two instances of til belong to different expressions:

1. hen til min datter
   Here til means to/toward and shows direction.

2. se til hende
   Here se til is a fixed expression meaning check on / look after / see how someone is.

So even though the same word appears twice, it is doing two different jobs in the sentence.

That kind of repetition is completely normal in Danish.

It is possible in some contexts, but it is usually less natural for this meaning.

Går hen til is better when you mean physically moving over to where someone is. It gives a clearer, more natural sense of going over to her.

Without hen, the sentence may sound less idiomatic or slightly incomplete in this context.

So for a learner, går hen til is the safest and most natural choice here.

Yes. Går is present tense of gå.

In Danish, the present tense can be used for:

• something happening now
• something habitual
• something planned or immediate

So Jeg går hen til min datter can mean:

• I am going over to my daughter
• I go over to my daughter

The exact interpretation depends on context. Danish often uses the simple present where English might use am going.

The sentence has normal main-clause Danish word order:

• Jeg = subject
• går = finite verb
• hen til min datter = movement/direction
• for at se til hende = purpose phrase

So the structure is roughly:

Subject + verb + rest

That is the standard pattern in a simple Danish main clause.

If you moved something else to the front, Danish would still keep the finite verb in second position:

• Til min datter går jeg hen for at se til hende.

That version is much more marked, but it shows the rule.

Yes, depending on the exact nuance.

Some possible alternatives are:

• kigge til hende = check on her / look in on her
• se hvordan hun har det = see how she is doing
• passe på hende = look after her / take care of her

But they are not all identical:

• se til hende suggests checking on her condition or situation
• kigge til hende is very similar, often a bit more everyday
• passe på hende suggests protecting or caring for her more actively

So se til hende is a good choice if the idea is simply going to see how she is.