Questions & Answers about بعد ان اقرا القصة، ارسل رسالة الى صديقتي.
In careful MSA spelling, you would normally write:
بعد أن أقرأ القصة، أرسل رسالة إلى صديقتي.
If you add full vowel marks and case endings, it becomes:
بَعْدَ أَنْ أَقْرَأَ القِصَّةَ، أُرْسِلُ رِسَالَةً إِلَى صَدِيقَتِي.
A transliteration is:
baʿda an aqraʾa al-qiṣṣata, ursilu risālatan ilā ṣadīqatī
The version you saw leaves out some hamzas, which is common in casual typing, but standard written Arabic normally includes them.
In standard Arabic, this word is spelled أن with a hamza.
Here, أن is a particle that introduces a subordinate verb clause. In this sentence, it comes after بعد and helps form the meaning after I read...
Writing ان without the hamza is very common in informal typing, but it is not the careful standard spelling.
بعد means after, and أن introduces the following verb clause.
So بعد أن أقرأ القصة is literally something like:
after [that] I read the story
In natural English, that becomes after I read the story or after I have read the story.
So بعد أن is a very common way to say after + a verb clause in MSA.