Después de la boda, brindamos con vino en la terraza.

Después de means after.

In Spanish, después normally needs de before a noun or pronoun:

• después de la boda = after the wedding
• después de comer = after eating

So you cannot usually say después la boda. The de is part of the structure.

Spanish often uses the definite article more than English does.

So:

• después de la boda = after the wedding
• en la terraza = on the terrace

Even when English might sometimes omit the, Spanish often keeps it. Here, la boda refers to a specific wedding already understood from context.

Brindamos can be either:

• present tense: we toast
• preterite: we toasted

These two forms look identical for nosotros verbs ending in -ar.

In this sentence, the most natural interpretation is usually the preterite:

• Después de la boda, brindamos con vino en la terraza.
• After the wedding, we toasted with wine on the terrace.

The time expression and narrative feel make the past meaning more likely.

The infinitive is brindar.

It commonly means:

• to toast
• to make a toast
• sometimes to offer/provide, in other contexts

In this sentence, brindar means to toast in the social sense, usually by raising glasses.

Examples:

• Brindamos por los novios. = We toasted the bride and groom.
• Brindamos con cava. = We toasted with cava.

Because con tells you what was used for the toast:

• brindar con vino = to toast with wine

But por gives the reason or the person/thing being honored:

• brindar por los novios = to toast the bride and groom
• brindar por tu éxito = to toast your success

So the two patterns are different:

• brindar con + drink
• brindar por + person/thing/event

You can even combine them:

• Brindamos por los novios con vino.

Because en expresses location, while a usually expresses movement toward a place.

• en la terraza = on the terrace / at the terrace
• a la terraza = to the terrace

So:

• Brindamos en la terraza. = We were located there when we toasted.
• Fuimos a la terraza. = We went to the terrace.

Usually it is very close, but the exact nuance depends on context.

In Spain, terraza can mean:

• a terrace attached to a building
• an outdoor seating area
• sometimes a large balcony-like outdoor space

So in this sentence, en la terraza most naturally means they were in an outdoor terrace area after the wedding.

It is not necessarily the same as:

• balcón = balcony
• patio = courtyard/patio

Yes. Spanish word order is fairly flexible, especially with time and place phrases.

This sentence could also be:

• Brindamos con vino en la terraza después de la boda.
• En la terraza, brindamos con vino después de la boda.

The original version is very natural because it starts with the time phrase:

• Después de la boda, ...

That sets the scene first.

The comma separates the introductory time phrase from the main clause:

• Después de la boda, = introductory phrase
• brindamos con vino en la terraza. = main clause

In Spanish, this comma is very common and helps readability. It is similar to English punctuation in sentences like:

• After the wedding, we toasted with wine on the terrace.

Yes, but boda is the most common and natural word in Spain for wedding.

• boda = the usual everyday word
• casamiento = marriage/wedding, but often less common or more regional depending on the Spanish-speaking area

For Spanish from Spain, boda is the safest and most idiomatic choice.

It can mean both, depending on context.

• vino = wine (noun)
• vino = he/she/it came from venir (verb)

In this sentence, con vino clearly makes it the noun wine.

This is a good example of how Spanish often relies on context:

• El vino está frío. = The wine is cold.
• Juan vino tarde. = Juan came late.

A broad Spain pronunciation would be roughly:

des-PWES de la BO-da, brin-DA-mos kon BI-no en la te-RRA-tha

A few useful notes:

• después is stressed on the last syllable because of the written accent: -pués
• brindamos is stressed on da
• In much of Spain, z and soft c are pronounced with a th sound, but this sentence does not contain those letters
• b and v are pronounced very similarly in Spanish, so vino does not sound like English vino with a strong English v

The rolled or tapped r in terraza may also stand out to English speakers.

Not exactly.

• tomamos vino = we drank wine
• brindamos con vino = we toasted with wine

Brindar focuses on the ceremonial/social act of raising glasses in celebration.
Tomar focuses on the act of drinking.

So after a wedding, both could happen, but they are not identical in meaning.