Hon lägger limmet på bordet och klistrar sedan sin teckning på pappret.

Because sin is a reflexive possessive: it refers back to the subject of the clause, here Hon.

So:

• Hon ... sin teckning = She ... her own drawing
• Hon ... hennes teckning = She ... her drawing, but this usually suggests the drawing belongs to some other female person, not the subject herself

Also, sin matches the gender/number of the thing owned:

• sin for common-gender singular nouns: sin teckning
• sitt for neuter singular nouns
• sina for plural nouns

Since teckning is an en-word, sin is the correct form.

They are the definite forms of the nouns, meaning the glue, the table, and the paper.

Basic pattern:

• ett lim → limmet
• ett bord → bordet
• ett papper → pappret

These are all ett-words (neuter nouns), and the definite singular ending is usually -et or -t, depending on the word.

So Swedish often builds the directly onto the noun instead of using a separate word like English does.

Lägger is the present tense of lägga, which often means to lay, to put, or to place.

In this sentence, Hon lägger limmet på bordet means she puts/places the glue on the table.

A useful detail: this does not mean she is spreading glue onto the surface of the table. It more naturally means she places the glue container there.

Swedish often uses lägga for putting something down, especially when it is understood as being placed in a resting position.

Here it effectively means onto the table, because the verb lägger already shows movement/placement.

Swedish often uses på for both:

• location: on
• destination with surface contact: onto

So:

• Det ligger på bordet = It is on the table
• Hon lägger det på bordet = She puts it on/onto the table

English often distinguishes on and onto more clearly than Swedish does.

Because på is the normal preposition for contact with a surface: on, onto, attached to, depending on the verb.

So:

• lägger ... på bordet = puts something on/onto the table
• klistrar ... på pappret = sticks/pastes something onto the paper

The exact English translation depends on the verb, but Swedish uses på very naturally in both places.

This is because of the normal main clause word order in Swedish: the finite verb usually comes in second position.

Here the structure is:

• Hon = subject
• lägger = finite verb
• ...
• och klistrar sedan = and sticks then

In the second coordinated part, the subject Hon is understood, so the verb klistrar still comes before the adverb sedan.

Compare:

• Hon klistrar sedan sin teckning på pappret
• Sedan klistrar hon sin teckning på pappret

Both are correct, but if sedan starts the clause, the verb must still come second, so hon moves after the verb.

Yes.

• lägger = puts / is putting
• klistrar = sticks / is sticking

Swedish present tense is often formed with -r, and the same verb form is used for all persons:

• jag lägger
• du lägger
• hon lägger
• vi lägger

That is much simpler than English, which changes form slightly in he/she puts.

Because both verbs share the same subject.

So:

• Hon lägger limmet på bordet och klistrar sedan sin teckning på pappret.

works like English:

• She puts the glue on the table and then sticks her drawing on the paper.

You do not need to repeat the subject when one subject is doing both actions in a coordinated structure.

If you did repeat it, it would still be possible in some contexts, but it would sound more separate or emphatic.

Teckning usually means drawing.

It refers specifically to something drawn, rather than just any picture.

For example:

• teckning = drawing, sketch
• bild = picture, image
• målning = painting

So sin teckning is most naturally her drawing.

Both can mean then or later.

• sedan is a bit more neutral and common in writing
• sen is very common in speech and informal writing

So you could also hear:

• Hon lägger limmet på bordet och klistrar sen sin teckning på pappret.

That sounds natural too, especially in conversation.

Yes, depending on the nuance.

• klistrar sin teckning på pappret = sticks/pastes her drawing onto the paper
• klistrar fast sin teckning på pappret = sticks her drawing down/attaches it firmly to the paper

Adding fast emphasizes that it is being attached securely. Without fast, the sentence is still completely normal.

Because papper is the normal Swedish word for paper.

Its forms are:

• ett papper = a paper / a piece of paper
• pappret = the paper

Depending on context, papper can refer to paper in a general sense or a sheet/piece of paper. In this sentence, på pappret most naturally means onto the paper.