بعت لصاحبتي صورة الكارت، وهي قالت لي: لقيته.

Because in Egyptian Arabic, the verb usually already tells you who the subject is.
بعت is a past-tense form meaning I sent, so أنا is not necessary.

If you do add أنا, it usually adds emphasis:

• أنا بعت = I sent it / I’m the one who sent it

Yes, here it means I sent.

In Egyptian Arabic, بعت can be understood in two different ways depending on context:

• بعت = I sent
• بعت = I sold

The context makes it clear. Since the sentence continues with لصاحبتي صورة الكارت (to my friend a picture of the card), the meaning is clearly I sent.

A learner may also notice a pronunciation difference in speech:

• I sent is commonly pronounced more like baʿat
• I sold is commonly pronounced more like biʿt / beʿt

Because لـ here means to.

So:

• لصاحبتي = to my female friend

With the verb بعت (sent), Arabic often marks the recipient with لـ:

• بعت لها = I sent to her
• بعت لصاحبتي = I sent to my friend

This is very natural in Egyptian Arabic.

صاحبتي means my female friend.

It breaks down like this:

• صاحبة = female friend / female companion
• صاحبتي = my female friend

A useful spelling point: when a feminine noun ending in ة takes a suffix, that ة becomes ت in writing:

• صاحبة
• صاحبتي

Also, depending on context, صاحبتي can sometimes mean my girlfriend, especially if the speaker is male. In many situations, though, it simply means my friend.

This is a very common Arabic structure called idafa (the construct phrase).

• صورة = picture
• الكارت = the card
• صورة الكارت = picture of the card

Arabic often expresses of by just putting two nouns next to each other:

• باب البيت = the door of the house
• لون العربية = the color of the car
• صورة الكارت = the picture / a picture of the card

Also, كارت is a common borrowed word in Egyptian Arabic meaning card.

Both are possible.

• وقالت لي = and she said to me
• وهي قالت لي = and she said to me / and she was like...

Using هي makes the subject extra clear and can add a slight sense of contrast or emphasis: she said to me.

In storytelling, Egyptian Arabic often uses explicit pronouns like this even when they are not strictly necessary.

Because the verb قال (say) normally uses لـ for the person being spoken to.

So:

• قالت لي = she said to me
• قالت له = she said to him
• قالت لهم = she said to them

This is different from English, where we can simply say she told me or she said to me. In Arabic, with قال, the to part is usually expressed with لـ.

لقيته = I found it / I found him

It breaks down like this:

• لقيت = I found
• ـه = him / it

So literally it is:

• لقيت + ه
• I found + it/him

In Egyptian Arabic, لقى is the everyday verb for find. A learner who knows Modern Standard Arabic may expect وجد, but لقى is much more common in everyday Egyptian speech.

Because it refers to الكارت, and كارت is grammatically masculine.

So:

• الكارت → لقيته = I found it
• if it referred to a feminine noun, you would use ـها

For example:

• الصورة (feminine) → لقيتها = I found it
• الكارت (masculine) → لقيته = I found it

This is a very common thing to watch for in Arabic: the pronoun matches the grammatical gender of the noun it refers to.

It refers to the card, not the picture.

That is why the speaker says:

• لقيته with masculine ـه

If it referred to الصورة (the picture), it would need to be feminine:

• لقيتها

So the meaning is: after seeing the picture of the card, she says I found it, where it = the card.

Yes. That would also be natural.

Both of these are possible:

• بعت لصاحبتي صورة الكارت
• بعت صورة الكارت لصاحبتي

The meaning is basically the same: I sent my friend a picture of the card.

The difference is mainly about focus and flow. Putting لصاحبتي earlier can highlight the recipient a little more, while بعت صورة الكارت لصاحبتي may feel a bit more straightforward to some speakers.

A natural approximate pronunciation would be:

baʿat li-ṣaḥbti ṣūret el-kart, wi hiyya ʔālit li: laʔeeto

A few useful notes:

• الكارت is pronounced el-kart
• صورة الكارت often sounds like ṣūret el-kart
• قالت لي may sound connected in fast speech, something like ʔālitli
• لقيته is often pronounced laʔeeto, even though it is written with ـه

So in fast natural speech, you may hear something close to:

baʿat li-ṣaḥbti ṣūret el-kart, wi hiyya ʔālitli: laʔeeto