Ese estilo parece moderno.

Both mean this/that, but they point to different distance or psychological closeness.

• este = this (closer to the speaker)
• ese = that (a bit farther away, or less immediately connected)
• aquel = that over there (farther away)

So Ese estilo parece moderno usually means That style seems modern.

In real usage, Spanish does not always map perfectly onto English this/that, but ese is the normal choice for that here.

Yes, estilo is a masculine noun, so it takes masculine words:

• el estilo
• ese estilo
• moderno

Even though estilo ends in -o, which often signals masculine, you still have to learn the gender with the noun. Here everything agrees with the masculine singular noun:

• ese = masculine singular
• moderno = masculine singular

Because moderno is describing estilo, and adjectives in Spanish usually agree with the noun they describe.

Since estilo is masculine singular, the adjective must also be masculine singular:

• el estilo moderno
• ese estilo parece moderno

If the noun were feminine, you would use moderna:

• Esa idea parece moderna.

Parece is the third-person singular form of parecer, which usually means:

• to seem
• to appear

So Ese estilo parece moderno means That style seems modern.

It suggests an impression or appearance, not necessarily a definite fact. It is softer than saying:

• Ese estilo es moderno = That style is modern

So parece is often used when you are judging by how something looks or feels.

Because in Spanish, the subject is often expressed directly by the noun, so no extra it is needed.

In English:

• That style seems modern.

In Spanish:

• Ese estilo parece moderno.

The subject is already Ese estilo, so Spanish does not need a separate dummy subject like English sometimes does.

Yes, but the meaning is slightly different.

• Ese estilo parece moderno = That style seems modern
  • gives an impression
  • sounds a bit less absolute
• Ese estilo es moderno = That style is modern
  • states it more directly as a fact

So both are correct, but parece is more cautious or observational.

Because ese is a demonstrative determiner, and it already goes directly before the noun.

You say:

• ese estilo
• esta casa
• aquellos zapatos

Not:

• el ese estilo

In English, that style also does not use the. The same idea applies here.

A simple pronunciation guide is:

• Ese ≈ EH-seh
• estilo ≈ es-TEE-lo
• parece ≈ pa-REH-theh in much of Spain
• moderno ≈ mo-DER-no

In most of Spain, ce is pronounced with the th sound of think, so parece sounds like pa-REH-theh.

In Latin America, it would usually sound more like pa-REH-seh.

Stress:

• esTIlo
• paREce
• moDERno

Yes. This is a very common pattern:

• parecer + adjective
• parecer + noun
• parecer + infinitive
• parecer que + clause

Examples:

• Parece interesante. = It seems interesting.
• Parece un error. = It seems like a mistake.
• Parece funcionar. = It seems to work.
• Parece que llueve. = It seems that it’s raining.

So parece moderno is completely natural.

Yes, and it is similar, but not exactly the same.

• Ese estilo parece moderno = That style seems modern
• Ese estilo se ve moderno = That style looks modern

Se ve moderno focuses more on visual appearance.
Parece moderno can also be based on overall impression, not only what you literally see.

In many contexts, both would work.

The plural would be:

• Esos estilos parecen modernos.

Changes:

• ese → esos
• estilo → estilos
• parece → parecen
• moderno → modernos

Everything changes to match the plural masculine noun.

No. In modern standard Spanish, ese as a demonstrative determiner is written without an accent:

• ese estilo

Older rules sometimes allowed an accent in some pronoun uses, like ése, but current standard spelling generally does not use it except in very rare cases of ambiguity. For normal learning and writing, use:

• ese
• esa
• esos
• esas