الهدية دي عشان اختي.

A natural Egyptian Arabic pronunciation is:

el-hadeyya di ʿashān okhti

A rough breakdown:

• الهدية → el-ha-DEY-ya
• دي → di
• عشان → ʿa-SHAAN
• اختي → OKH-ti or UKH-ti

A couple of notes:

• ال is usually pronounced el- in Egyptian Arabic.
• The first sound in عشان is ع, a deep throat sound. Many beginners approximate it at first, and that is normal.

دي means this for a feminine singular noun.

In Egyptian Arabic, demonstratives like this usually come after the noun, not before it. So:

• الهدية دي = this gift

This is different from English, where this comes first.

Compare:

• الكتاب ده = this book
• البنت دي = this girl

So the word order noun + demonstrative is very normal in Egyptian Arabic.

Because هدية is a feminine noun.

In Egyptian Arabic:

• ده is usually used with masculine singular
• دي is usually used with feminine singular

Since هدية ends in ة, it is grammatically feminine, so it takes دي:

• الهدية دي = correct
• الهدية ده = not correct in normal usage

This is grammatical gender, not biological gender. A gift is not female in real life, but the noun is feminine in Arabic grammar.

Because in Arabic, especially in the present tense, you often do not say a separate word for is / am / are.

So:

• الهدية دي عشان اختي

literally looks something like:

• the gift this for my sister

But naturally it means:

• This gift is for my sister

This kind of sentence is very common in Arabic. The is is understood from the structure.

Here, عشان means for.

So:

• عشان اختي = for my sister

In Egyptian Arabic, عشان is a very common word and can have several meanings depending on context, such as:

• for
• because
• so that / in order to

In this sentence, the meaning is clearly for.

Examples:

• الكتاب ده عشانك = This book is for you
• جيت عشان أشوفك = I came to see you / in order to see you
• زعلت عشان كده = I got upset because of that

It is made of:

• اخت / أخت = sister
• -ي = my

So:

• اختي / أختي = my sister

This -ي ending is a very common possessive suffix in Arabic.

Other examples:

• كتابي = my book
• بيتي = my house
• أمي = my mother

So the pattern is very useful to learn early.

In careful spelling, especially in Standard Arabic, you would normally write:

• أختي

But in informal Arabic writing, especially online or in casual messages, people often leave out the hamza and write:

• اختي

Both are understood as my sister.

So:

• أختي = more standard/careful spelling
• اختي = very common informal spelling

Because in Egyptian Arabic, when you say this + noun, the noun is usually definite.

So:

• الهدية دي = this gift

Literally it is the gift this, but that is just how Egyptian Arabic expresses this gift.

Without الـ, the phrase would sound unnatural in this kind of sentence.

So learners should get used to this pattern:

• الولد ده = this boy
• العربية دي = this car
• الهدية دي = this gift

Yes, this is clearly Egyptian Arabic.

The biggest clues are:

• دي for this
• عشان for for / because / so that

A Standard Arabic version would more likely be:

• هذه الهدية لأختي

Word-for-word, that is closer to:

• this gift for my sister

Some differences:

• Egyptian: دي
• Standard Arabic: هذه

And:

• Egyptian: عشان
• Standard Arabic: لـ in this sentence

So the sentence is very natural in Egyptian, while هذه الهدية لأختي is the more formal/standard equivalent.