Tento model je nový.

Tento is the full demonstrative form meaning this. In this sentence, it agrees with model, which is masculine singular nominative.

You will also often hear ten used in everyday Czech, but tento is a bit more explicit and often feels slightly more formal or careful.

So:

• tento model = this model
• ten model can also mean this model or that model, depending on context

In Czech, every noun has a grammatical gender: masculine, feminine, or neuter. Model is a masculine inanimate noun.

That matters because words connected to it must match its gender, number, and case. That is why you get:

• tento for a masculine singular noun
• nový for a masculine singular noun

If the noun had a different gender, the forms would change.

Because adjectives in Czech must agree with the noun they describe.

Here, nový describes model, and model is:

• masculine
• singular
• nominative

So the adjective takes the masculine singular nominative ending -ý.

Compare:

• nový model = masculine
• nová kniha = feminine
• nové auto = neuter

Je is the 3rd person singular present form of být, which means to be.

So:

• je = is

In this sentence, it links the subject tento model with the description nový.

Structure:

• Tento model = subject
• je = is
• nový = new

Czech does not have articles like English a and the.

That means Czech usually expresses definiteness through:

• context
• word order
• demonstratives like tento

So model by itself can mean a model or the model, depending on context.
And tento model makes it more specific: this model.

Model is in the nominative singular, which is the basic dictionary form of the noun.

Many masculine nouns in Czech have no extra ending in this form, so model simply stays model.

This is normal for masculine nouns:

• student
• hotel
• model

The endings become more obvious in other cases.

Yes. Czech word order is more flexible than English word order, although the most neutral version here is:

• Tento model je nový.

You could also say:

• Model je nový. = The model is new / This model is new, depending on context
• Nový je tento model. = marked word order, with stronger emphasis or contrast

So the original sentence is the most straightforward and neutral choice.

It is an adjective.

More specifically, it is a short predicate complement after je. It still agrees with the noun model, so it behaves like an adjective, not an adverb.

In English, adjectives also appear after to be:

• The model is new

Czech works the same way here:

• Model je nový

A simple approximate pronunciation is:

• Tento ≈ TEN-to
• model ≈ MO-del
• je ≈ ye
• nový ≈ NO-vee

A few useful notes:

• Czech stress usually falls on the first syllable of each word
• j is pronounced like English y in yes
• ý is a long ee sound

So the whole sentence sounds roughly like:

TEN-to MO-del ye NO-vee

Yes. Tenhle model je nový is very natural in spoken Czech.

Compare the feel of these:

• Tento model je nový. = neutral, careful, a bit more formal
• Tenhle model je nový. = common spoken Czech
• Ten model je nový. = also common, but can mean this or that depending on context

So your original sentence is completely correct, but there are other natural ways to say something similar.