هاد الكاتب عنده رواية تانية بتحكي عن بنت ساكنة بشقة صغيرة لحالها.

Yes. هاد means this in Levantine Arabic. It corresponds to MSA هذا.

In Levantine, you may also hear:

• هاد
• هيدا
• هالـ before a noun, as in هالكاتب

So هاد الكاتب = this writer.

Because the sentence is saying this writer, not just a writer.

In Arabic, when you use a demonstrative like this, the noun is usually definite:

• كاتب = a writer
• الكاتب = the writer
• هاد الكاتب = this writer

So the الـ on الكاتب is normal here.

عنده literally means at him, but in Arabic it is very commonly used to mean he has.

So:

• عنده رواية = he has a novel

This is a very common possession structure in Levantine:

• عندي = I have
• عندك = you have
• عنده = he has
• عندها = she has

So in this sentence, هاد الكاتب عنده... means this writer has...

It can mean either a second novel or another novel, depending on context.

In everyday Levantine, تاني / تانية often means:

• second
• another / one more

So:

• رواية تانية = another novel / a second novel

If the broader context is about a list of works, it may sound like a second novel. If the speaker just means one more novel by this writer, another novel is a natural translation.

Because رواية is a feminine noun, and adjectives agree with the noun in gender.

• رواية = novel/story, feminine
• تانية = feminine form of second/another
• masculine would be تاني

Examples:

• كتاب تاني = another book
• رواية تانية = another novel

That is a great question, because بتحكي can indeed mean she talks in many contexts. But here it means something like tells or is about.

The verb حكى / يحكي in Levantine can mean:

• to speak
• to tell
• to narrate
• to talk about

So in this sentence:

• رواية ... بتحكي عن... = a novel that tells about... / is about...

It refers to what the novel narrates or discusses.

In Levantine, b- often marks the present/habitual form.

So:

• تحكي can appear in some contexts, but
• بتحكي is the normal everyday Levantine form for she tells / it tells / she talks

Here, بتحكي agrees with رواية, which is feminine singular. So literally it is like:

• a novel, it tells about...

Because it refers back to رواية, and رواية is feminine.

Arabic verbs often agree with the noun they refer to. So:

• الرواية بتحكي = the novel tells...
• If it were الكتاب, you would usually say الكتاب بيحكي

So the t- in بتحكي reflects feminine singular agreement.

عن means about.

So:

• تحكي عن = talk about / tell about

In this sentence:

• بتحكي عن بنت = it tells about a girl / it is about a girl

This is a very common combination:

• حكى عن الموضوع = he talked about the topic
• الفيلم بيحكي عن الحرب = the movie is about the war

Arabic often uses an active participle where English would use a relative clause.

• ساكنة literally means living / residing
• بنت ساكنة بشقة صغيرة = a girl living in a small apartment

In English, we often need who is:

• a girl who is living in a small apartment

In Arabic, that relative meaning can be expressed more compactly with the participle:

• بنت ساكنة...

You could also hear a fuller version like:

• بنت اللي ساكنة... but بنت ساكنة... is very natural and concise.

بشقة means in an apartment.

It is made of:

• بـ = in / at / with
• شقة = apartment

So:

• بشقة = in an apartment

In Levantine, بـ is very commonly used where English uses in:

• بشقة = in an apartment
• بالبيت = at home / in the house
• بالمدرسة = at school

You may also hear في شقة, and that can be understandable, but بشقة is very natural in Levantine.

Because شقة is feminine, and the adjective must agree with it.

• شقة = apartment, feminine
• صغيرة = small, feminine
• masculine would be صغير

So:

• بيت صغير = a small house/home
• شقة صغيرة = a small apartment

لحالها means by herself or alone.

It is a very common Levantine expression:

• لحالي = by myself
• لحالك = by yourself
• لحاله = by himself
• لحالها = by herself
• لحالهم = by themselves

So:

• ساكنة بشقة صغيرة لحالها = living alone in a small apartment

It emphasizes that she lives there without anyone else.

They are very close in meaning.

• لحالها = by herself / alone
• وحدها = alone / on her own

In Levantine, لحالها is especially common in everyday speech. Both can work, but لحالها sounds very natural here.

A rough breakdown is:

• هاد الكاتب = this writer
• عنده رواية تانية = has another novel
• بتحكي عن بنت = that tells about a girl
• ساكنة بشقة صغيرة = living in a small apartment
• لحالها = by herself / alone

So the structure is:

This writer has another novel [that] tells about a girl [who is] living in a small apartment by herself.

Arabic often leaves out words that English needs, such as:

• that
• who is

But the meaning is still clear from the structure.

Yes. Even though the meaning is already known, it is useful to see how flexible the Arabic is.

Possible natural English renderings include:

• This writer has another novel about a girl living alone in a small apartment.
• This writer has another novel that tells the story of a girl living alone in a small apartment.
• This writer has another novel that is about a girl who lives alone in a small apartment.

That flexibility comes partly from بتحكي عن, which can be translated as:

• talks about
• tells about
• is about
• tells the story of

A more MSA-like version might be something like:

لهذا الكاتب رواية أخرى تحكي عن فتاة تسكن في شقة صغيرة بمفردها.

Some key differences:

• هاد → MSA هذا
• عنده is common in speech; MSA may use a different structure depending on style
• تانية → MSA أخرى
• بنت → MSA often فتاة
• بشقة → MSA often في شقة
• لحالها → MSA often بمفردها

The Levantine sentence is natural, colloquial, and everyday.