هذه نظرة سريعة.

Because نظرة is a feminine singular noun, and هذه is the feminine singular form of this.

• هذا = this for masculine nouns
• هذه = this for feminine nouns

So:

• هذا كتاب = This is a book
• هذه نظرة = This is a look / overview

A very common sign of a feminine noun in Arabic is the ending ة (called tāʾ marbūṭa).
نظرة ends in ة, so it is grammatically feminine.

That does not necessarily mean the word refers to a female person. It just means the noun is treated as feminine in grammar.

Yes. This is a normal nominal sentence in Arabic.

Arabic often leaves out the present-tense verb to be. So:

• هذه نظرة سريعة literally looks like this quick look
• but the real meaning is This is a quick look or This is a brief overview

So the is is understood automatically.

It is a nominal sentence made of:

• هذه = the subject-like element
• نظرة سريعة = the predicate

More specifically:

• هذه = this
• نظرة = a look / glance / overview
• سريعة = quick / brief

So the structure is basically:

هذه + noun phrase describing what this is

That gives: This is a quick look.

They are indefinite because the sentence means This is a quick look, not This is the quick look.

In Arabic, indefiniteness here matches the English idea of a:

• نظرة سريعة = a quick look
• النظرة السريعة = the quick look

Since the predicate is introducing or describing something as a kind of thing, the indefinite form is natural.

Because Arabic adjectives must agree with the noun they describe.

سريعة describes نظرة, so it matches it in:

• gender: feminine
• number: singular
• definiteness: indefinite

So:

• نظرة سريعة = feminine noun + feminine adjective
• not نظرة سريع

This agreement is a very important rule in Arabic.

A simple learner-friendly pronunciation is:

• hādhihi naẓra sarīʿa

In fuller formal pronunciation with case endings, it can be:

• hādhihi naẓratun sarīʿatun

About ة:

• at the end of a word in pause, it usually sounds like -a or -ah
• when grammatical endings are pronounced, it behaves like t

So:

• نظرة in pause: naẓra / naẓrah
• with full ending: naẓratun

نظرة can mean several related things, depending on context:

• a look
• a glance
• a view
• an overview

In this sentence, it most naturally means something like:

• a quick look
• a brief look
• a short overview

So it is often used for introducing something briefly.

It comes from the root ن ظ ر (n-ẓ-r), which is related to looking, seeing, and considering.

From the same root, learners often meet words like:

• نظر = he looked
• ينظر = he looks / is looking
• نظرة = a look / glance
• منظر = view / scene
• نظرية = theory

Knowing roots helps you connect vocabulary and remember related words more easily.

Yes. That is often the best way to understand it in context.

Arabic expressions with نظرة سريعة are commonly used for:

• giving a short introduction
• presenting a summary
• taking a quick look at a topic

So depending on context, natural English translations could include:

• This is a quick look
• This is a brief overview
• Here is a quick overview

All of those can fit the same Arabic sentence.