Para la sopa, mi abuela pone una hoja de laurel y luego la quita.

Para la sopa means for the soup. It has been moved to the front to set the context: we are talking about what she adds when making soup.

Spanish often puts this kind of phrase first for emphasis or topic-setting. A more neutral order would also be possible:

Mi abuela pone una hoja de laurel para la sopa y luego la quita.

But Para la sopa, ... sounds very natural and highlights the dish first.

Here, para expresses purpose or intended use: the bay leaf is used for the soup.

• para la sopa = for the soup / intended for the soup

Using por here would not sound right, because por usually expresses ideas like through, because of, around, by, and so on.

Pone is the present simple of poner. In Spanish, the present simple is very commonly used for habitual actions:

• Mi abuela pone... = My grandmother puts / adds...

So the sentence suggests something she normally does when making soup.

Está poniendo would mean she is doing it right now, at this very moment:

• Mi abuela está poniendo una hoja de laurel... = My grandmother is adding a bay leaf right now...

Spanish often omits subject pronouns because the verb ending already shows who the subject is.

• pone = she/he puts
• quita = she/he removes

Since mi abuela is already stated, adding ella would usually be unnecessary:

• Mi abuela pone... = perfectly natural
• Ella pone... = possible, but usually only if you want emphasis or contrast

It means a bay leaf.

Breakdown:

• una hoja = a leaf
• de laurel = of bay / from the bay-laurel plant

So literally it is a leaf of bay laurel, but the natural English translation is a bay leaf.

Because here laurel is being used as a material/type/classification noun, not as the specific laurel.

• una hoja de laurel = a bay leaf
• literally, a leaf of bay laurel

If you said del laurel, it would sound more like from the laurel tree/plant, referring to a more specific or previously identified laurel. In cooking vocabulary, hoja de laurel is the normal fixed expression.

Yes, pone and echa can both work in many cooking contexts, but they are not exactly the same.

• poner = to put
• echar = to add / throw in / pour in, depending on context

In recipes, both are common:

• pone una hoja de laurel
• echa una hoja de laurel

Poner sounds a bit more like placing/putting, while echar often sounds more like adding in. In this sentence, pone is completely natural.

La is a direct object pronoun meaning it, and it refers back to una hoja de laurel.

So:

• pone una hoja de laurel = she adds a bay leaf
• luego la quita = then she removes it

It is la because hoja is a feminine noun:

• la hoja
• therefore: la quita = removes it

Because the pronoun refers to hoja, not to laurel.

The full noun phrase is:

• una hoja de laurel

The main noun is hoja, and hoja is feminine:

• la hoja
• una hoja

So when replacing it with a pronoun, Spanish uses la:

• Mi abuela pone una hoja de laurel y luego la quita.

Even though laurel is masculine, it is not the head noun here.

Yes, hoja is feminine, and its ending -a matches that pattern. In this case, it is straightforward:

• la hoja
• una hoja

Many nouns ending in -a are feminine, though not all. For this sentence, the important thing is simply to learn:

• hoja = feminine
• laurel = masculine

That is why you get:

• una hoja de laurel
• la quita

Here luego means then or afterwards.

So:

• y luego la quita = and then she removes it

Yes, in this context luego and después are very similar.

You could also say:

• y después la quita

Both are natural. Luego is very common in everyday Spanish.

Both verbs can be possible, but they focus slightly differently.

• quitar = to remove / take away
• sacar = to take out

In this sentence, quita is very natural because she is removing the bay leaf from the soup after using it for flavour.

You might also hear:

• luego la saca

That would also make sense, especially if you are thinking of physically taking it out of the pot. Quitar is just a bit broader and very common here.

In Spanish, articles are often used where English might leave them out.

• para la sopa = for the soup

This sounds natural because it refers to the soup being made or to soup as the dish in this context.

Para sopa is not the normal phrasing here. Spanish usually prefers the article:

• para la sopa
• en la sopa

Most likely it describes a habit or usual practice.

The present tense in Spanish often does this:

• Mi abuela pone una hoja de laurel y luego la quita.

This sounds like:

• My grandmother adds a bay leaf and then removes it.
• In other words, that is what she normally does.

If you wanted to make it clearly about one specific occasion, Spanish would often use a past tense:

• Mi abuela puso una hoja de laurel y luego la quitó.

Yes. Spanish word order is fairly flexible, though some versions sound more natural than others depending on emphasis.

Original:

• Para la sopa, mi abuela pone una hoja de laurel y luego la quita.

Also possible:

• Mi abuela pone una hoja de laurel para la sopa y luego la quita.
• Mi abuela, para la sopa, pone una hoja de laurel y luego la quita.

The original version puts Para la sopa first to establish the context right away. That is a very natural choice.