اختي كمان بدأت تروح الجيم بعد الجامعة عشان تعمل تمرين كل يومين.

Yes. اختي and أختي both mean my sister.

In informal Egyptian writing, people often leave out the hamza in very common words. So:

• أختي = the more standard spelling
• اختي = a very common casual spelling

Also, -ي at the end means my.

كمان means also, too, or as well.

So اختي كمان means my sister too or my sister also.

In this sentence, it shows that the sister is doing something in addition to someone else already mentioned or understood from context.

Because the subject is feminine: اختي = my sister.

In the past tense:

• بدأ = he started
• بدأت = she started

So بدأت matches the feminine subject.

Arabic does not use an infinitive the same way English does.

In English, you say:

• she started to go
• she started going

In Arabic, after a verb like بدأت (she started), you normally use another verb in the present tense:

• بدأت تروح = she started going / she started to go

So تروح is not exactly an infinitive. It is a present-tense verb form.

This is very normal in Egyptian Arabic.

With راح / يروح (go), Egyptians often put the destination directly after the verb, especially with common places:

• يروح البيت = go home
• يروح الشغل = go to work
• يروح الجيم = go to the gym

In more formal Arabic, you often see إلى:

• تذهب إلى الجيم / إلى النادي

But in everyday Egyptian, leaving out to here is completely natural.

Yes. الجيم is a borrowed word from English gym.

Egyptian Arabic uses many loanwords, and they can take the Arabic definite article الـ just like native Arabic words. So:

• جيم = gym
• الجيم = the gym

Even though it comes from English, it behaves like a normal Arabic noun in the sentence.

Usually no.

Here بعد الجامعة most naturally means after university/classes for the day or after she finishes at university.

It usually does not mean after graduating from university. If you wanted that meaning, Arabic would normally say something clearer, such as something like after she graduated.

So in this sentence, think of it as a daily routine:

• she goes to the gym after university

Here عشان means so that or in order to.

So:

• عشان تعمل تمرين = so that she can exercise / in order to work out

In Egyptian Arabic, عشان is extremely common. Depending on context, it can also mean because, but in this sentence it clearly expresses purpose.

Both are possible, but they are slightly different ways of saying it.

• تعمل تمرين = do exercise / do a workout
• تتمرن = exercise / work out / train

In everyday Egyptian, عمل (to do / make) is often used with activities, so تعمل تمرين sounds very natural.

Also, تمرين is singular, but it can still mean a workout or exercise in a general sense. It does not have to mean just one single exercise movement.

Not necessarily.

In Arabic, a singular noun can sometimes be used in a general or collective way. Here تعمل تمرين can mean:

• do exercise
• do a workout
• get some exercise

If you used تمارين, that would focus more on exercises in the plural sense. But تمرين works well for the general idea of working out.

كل يومين literally means every two days.

A very natural English equivalent is:

• every two days
• every other day

Here يومين is the dual form of يوم (day), so it literally means two days.

This does not mean twice a day. It means one time per two-day period.

Because the subject has already been stated: اختي = my sister.

In Egyptian Arabic, the present-tense form تروح or تعمل can match different meanings depending on context, including she goes or you go. The sentence tells us which one is meant.

Since the sentence starts with اختي and then بدأت, the rest naturally continues with she:

• اختي ... بدأت تروح ... عشان تعمل ...
• My sister ... started going ... so that she does/can do ...

Arabic often leaves out pronouns like هي (she) when the subject is already clear.

Yes, it is clearly colloquial Egyptian.

Some Egyptian features here are:

• كمان for also
• تروح in everyday speech for go
• عشان for so that / because
• الجيم as a common spoken loanword

A more formal version in Modern Standard Arabic might be something like:

• أختي أيضًا بدأت تذهب إلى النادي الرياضي بعد الجامعة لكي تمارس التمارين كل يومين.

That is more formal and bookish. The original sentence sounds like normal everyday Egyptian speech.

A rough pronunciation is:

okhti kamān badaʔet terūḥ el-gīm baʕd el-gāmʕa ʕašān teʕmel tamrīn koll yōmēn

A few notes:

• خ in اختي is the throaty kh sound
• ع in بعد and عشان is the Arabic ʕayn
• ج in Egyptian Arabic is usually pronounced like g in go, so الجيم sounds like el-gīm
• كل يومين is often pronounced more like koll yomēn in Egyptian speech

Exact pronunciation can vary a bit by speaker, but this is a good practical approximation.