Después de la reunión, tengo ganas de quedarme en casa y leer en silencio.

Because después normally needs the preposition de before a noun.

• después de la reunión = after the meeting
• después on its own can mean afterwards / later

So:

• Después de la reunión, ... = after the meeting, ...
• Después, ... = afterwards, ...

Spanish requires de here in the same way English requires of in after the meeting only indirectly through structure.

It separates the introductory time phrase from the main clause.

• Después de la reunión, tengo ganas de...

This is very natural in writing, just like English often uses a comma in After the meeting, I feel like... It is not always absolutely mandatory in every short sentence, but it is standard and helpful.

Spanish often uses the definite article more than English does.

Here, la reunión refers to a specific meeting that both speaker and listener can identify, or that is clear from context.

• después de la reunión = after the meeting

If you said después de una reunión, that would mean after a meeting in a more indefinite sense.

Tener ganas de is a very common expression meaning:

• to feel like
• to be in the mood to
• to want to in a softer, more emotional sense

So tengo ganas de quedarme en casa is not just a plain statement of intention. It suggests a feeling or desire:

• I feel like staying at home
• I’m in the mood to stay at home

It is often less direct and more personal than quiero.

Because the fixed expression is tener ganas de + infinitive / noun.

Examples:

• Tengo ganas de dormir.
• Tiene ganas de salir.
• Tengo ganas de café.

So in your sentence:

• tengo ganas de quedarme...

You should learn tener ganas de as one unit.

Because the speaker means to stay or to remain, and in this use Spanish normally uses the pronominal form quedarse.

• quedar by itself can mean things like to remain, to be left, to arrange to meet, depending on context
• quedarse often means to stay somewhere

So:

• quedarme en casa = to stay at home

The me shows that the subject is I:

• quedarme = for me to stay
• quedarte = for you to stay
• quedarse = for him/her/you formal to stay

Because with an infinitive, Spanish allows the reflexive pronoun to attach to the end.

The base verb is quedarse. In this sentence, after de, it appears in the infinitive:

• quedarme

This is made from:

• quedar
  • me

With infinitives, attached pronouns are normal:

• quiero irme
• prefiero acostarme temprano
• tengo ganas de quedarme en casa

You may also see pronouns before a conjugated verb in other structures, but here attaching it to the infinitive is the standard form.

In Spanish, en casa is the usual way to say at home or home in this kind of sentence.

• quedarme en casa = stay at home

Using en la casa would usually refer more literally to in the house, often a specific physical house rather than the general idea of being at home.

Compare:

• Estoy en casa. = I’m at home.
• Estoy en la casa de Ana. = I’m in Ana’s house.

So en casa is the natural choice here.

Because both infinitives depend on the same expression tener ganas de, and Spanish often omits the repeated preposition.

So this sentence means:

• tengo ganas de quedarme en casa y leer en silencio

Both actions are understood as things the speaker feels like doing:

• quedarme en casa
• leer en silencio

You could say y de leer en silencio, and it would still be grammatical, but it sounds more repeated or emphatic. Omitting the second de is more natural here.

It can convey both ideas, but the most natural interpretation is to read in silence / quietly.

• en silencio is a very common expression meaning in silence or quietly
• It describes the manner or atmosphere of the reading

Spanish often prefers this kind of phrase instead of an adverb ending in -mente.

So leer en silencio sounds very natural.

You could, but en silencio is much more natural in everyday Spanish here.

Compare:

• leer en silencio = very natural
• leer silenciosamente = understandable, but less common and more formal or literary

Spanish often prefers a prepositional phrase like en silencio where English might use an adverb.

They are similar, but not identical.

• quiero quedarme en casa = I want to stay at home
• tengo ganas de quedarme en casa = I feel like staying at home / I’m in the mood to stay at home

Tengo ganas de sounds more like a current feeling or inclination.
Quiero can sound more direct, neutral, or determined.

In this sentence, tengo ganas de fits the idea of a feeling after the meeting.

Because it is linked to tener ganas de, which is followed by an infinitive.

The main conjugated verb is:

• tengo

Then the actions the speaker feels like doing appear as infinitives:

• quedarme
• leer

This is very common in Spanish:

• Tengo ganas de descansar.
• Quiero salir.
• Prefiero quedarme.

After verbs or expressions like these, the next verb is often an infinitive.

They show the correct stressed syllable.

• Después is stressed on the second syllable: des-PUÉS
• reunión is stressed on the last syllable: reu-ni-ÓN

The written accents are important because they tell you where the stress goes and help distinguish correct pronunciation. This is especially useful in words that do not follow the default stress patterns.

Yes, to some extent.

The original sentence is very natural:

• Después de la reunión, tengo ganas de quedarme en casa y leer en silencio.

You could also say:

• Tengo ganas de quedarme en casa y leer en silencio después de la reunión.

That places the time phrase at the end instead of the beginning. The meaning stays basically the same, but the original version highlights the timing first, which sounds very natural in context.