بعد الاجتماع أذهب إلى المستشفى لأن أمي هناك.

Yes:

• بعد = after
• الاجتماع = the meeting
• أذهب = I go / I am going / I will go
• إلى = to
• المستشفى = the hospital
• لأن = because
• أمي = my mother
• هناك = there

So the structure is literally:

After the meeting, I go to the hospital because my mother is there.

In natural English, that often becomes After the meeting, I’m going to the hospital because my mother is there or After the meeting, I’ll go to the hospital because my mother is there.

Because Arabic often leaves subject pronouns out when the verb already shows who the subject is.

• أذهب already means I go
• If you said أنا أذهب, that would be more emphatic, like I am the one who go(es) or I go

In normal neutral Arabic, just أذهب is enough.

It can mean all of those, depending on context.

In Modern Standard Arabic, the imperfect verb أذهب can express:

• present: I go
• ongoing/present: I am going
• near future: I will go

Here, because of بعد الاجتماع (after the meeting), the meaning is naturally future:

• After the meeting, I’ll go to the hospital

If you wanted to make the future more explicit, you could say:

• سأذهب إلى المستشفى = I will go to the hospital

But in this sentence, the time phrase already makes the future clear.

Arabic often puts time expressions at the beginning of the sentence, just like English can:

• After the meeting, I go to the hospital...

This is very natural in Arabic.

You could also say the sentence with the verb first:

• أذهب إلى المستشفى بعد الاجتماع لأن أمي هناك

That is also correct. Starting with بعد الاجتماع simply highlights the time first.

Because بعد directly takes a noun after it. You do not need a preposition like من here.

So:

• بعد الاجتماع = after the meeting
• قبل الدرس = before the lesson
• بعد العمل = after work

This is a normal Arabic pattern.

Also, the noun after بعد is in the genitive relationship, even though short vowels are usually not written in ordinary text.

الاجتماع literally means the meeting.

So:

• اجتماع = a meeting / meeting
• الاجتماع = the meeting

In this sentence, بعد الاجتماع usually means after the meeting, often referring to a specific meeting already known from context.

Arabic often uses the definite article where English would too, but sometimes Arabic is a bit more comfortable using definites in context than English is.

Because إلى is the normal preposition meaning to when expressing movement toward a place.

• أذهب إلى المستشفى = I go to the hospital
• أذهب إلى المدرسة = I go to the school
• أذهب إلى البيت = I go home / to the house

So إلى is doing the job of English to here.

المستشفى means the hospital.

It is pronounced approximately al-mustashfā.

A few useful points:

• The الـ is pronounced clearly here because م is a moon letter, not a sun letter.
• The final ى is alif maqṣūrah, which sounds like a long ā.
• So the end sounds like -shfā, not -shfi or -shfu in normal pause pronunciation.

Without الـ, the word is:

• مستشفى = hospital / a hospital

With الـ:

• المستشفى = the hospital

لأن means because.

So:

• لأن أمي هناك = because my mother is there

It introduces a reason or explanation.

In fully vocalized Arabic, it is written لِأَنَّ. Grammatically, it is one of the particles that affects the noun after it. In this sentence, that does not create a visible change in أمي, so learners usually just need to understand it as the normal word for because.

Because Arabic usually omits the verb to be in the present tense.

So:

• أمي هناك literally = my mother there
• natural English = my mother is there

This is a very common Arabic pattern:

• هو طالب = He is a student
• الجو جميل = The weather is beautiful
• أمي هناك = My mother is there

If you were talking about the past or future, Arabic would use a verb such as كان when needed.

Because هناك simply means there, and it avoids repetition.

So instead of saying:

• لأن أمي في المستشفى

the sentence says:

• لأن أمي هناك

Both are correct, but هناك sounds natural because the hospital was just mentioned.

So the idea is:

• I’m going to the hospital because my mother is there

where there clearly refers to the hospital.

A fully vocalized version would be:

بَعْدَ الاجْتِماعِ أَذْهَبُ إِلَى المُسْتَشْفَى لِأَنَّ أُمِّي هُناكَ.

A few grammar notes:

• بَعْدَ: usually analyzed here as an adverb of time, with fatḥa
• الاجتماعِ: genitive after بعد
• أذهبُ: imperfect verb in the indicative
• إلى: preposition
• المستشفى: genitive after إلى, though the case ending is not visible in normal spelling because of the final ى
• لِأَنَّ: because
• أمي: my mother
• هناك: there

In everyday Arabic writing, these short vowels are usually omitted, so learners normally see:

بعد الاجتماع أذهب إلى المستشفى لأن أمي هناك.