اختي بتقدر تشتغل وتسمع الراديو بنفس الوقت.

In Arabic, possession is often shown with a suffix attached to the noun.

• أخت / اخت = sister
• أختي / اختي = my sister

The -ي at the end means my.

So instead of saying something like my sister as two separate words, Arabic usually says it as one word: اختي.

Both are connected to the same word. In careful spelling, especially in Standard Arabic, you would usually see أختي with a hamza on the ا.

In informal Levantine writing, people often leave hamzas out, so اختي is very common in chats and everyday writing.

So:

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

In Levantine, بـ on a verb usually marks the present tense or habitual/imperfect form.

So:

• تقدر = the basic imperfect form
• بتقدر = she can / she is able / she usually can

Here بتقدر is the normal Levantine present form meaning she can or she is able to.

The تـ at the start is part of the verb conjugation, and the بـ is the Levantine present marker.

Because in Levantine Arabic, verbs like can, want, try, and similar verbs are usually followed directly by another verb, without أن.

So Levantine naturally says:

• بتقدر تشتغل
• بدها تروح
• بحاول افهم

In Standard Arabic, you often see أن in similar structures, but in everyday Levantine it is normally omitted.

Because the subject is she: my sister.

In the imperfect tense, third-person feminine singular usually takes تـ at the beginning. So:

• تشتغل = she works / she work
• تسمع = she listens

One thing that can confuse learners is that تـ is also used for some you forms. So by itself, تسمع could mean she listens or you listen, depending on context. Here the subject اختي makes it clear that it means she.

Because after بتقدر, the following verbs are normally in the bare imperfect form, not the بـ present form.

So this is natural:

• اختي بتقدر تشتغل وتسمع الراديو بنفس الوقت

Not usually:

• اختي بتقدر بتشتغل وبتسمع...

The idea is that بتقدر is the main conjugated verb, and تشتغل and تسمع depend on it.

A useful way to think about it:

• بتقدر = she can
• تشتغل وتسمع = work and listen

Yes, يشتغل / تشتغل is a very common Levantine verb meaning to work.

In Levantine, اشتغل is often more common in everyday speech than the Standard Arabic verb عمل when talking about employment or working.

So:

• هي بتشتغل = she works
• أنا بشتغل = I work

It can refer to:

• having a job
• doing work
• even functioning, for machines in some contexts

راديو is a borrowed word, but in Arabic it behaves like a normal noun, so it can take the definite article الـ.

So:

• راديو = a radio
• الراديو = the radio

Because ر is a sun letter, the ل in الـ is not pronounced clearly. So الراديو is pronounced roughly like:

• ir-rādyo
• or ər-rādyo

depending on the speaker and region.

So the spelling keeps الـ, but the pronunciation assimilates it to the ر.

Literally, it is something like at the same time or in the same time.

Breakdown:

• بـ = in / at / with
• نفس = same, self
• الوقت = the time

So بنفس الوقت is a very common Levantine expression meaning:

• at the same time
• simultaneously

It is an idiomatic everyday phrase.

It can sometimes suggest either one, depending on context.

Most commonly, بتقدر means:

• can
• is able to

In some situations it can also mean:

• may
• are allowed to

In this sentence, the natural reading is ability: your sister is able to do both things at once.

Because Arabic verbs already contain person information, and the subject noun اختي is already stated.

So saying:

• اختي بتقدر...

is complete and natural.

You could add هي in some contexts for emphasis, but it is not needed here.

English often requires a subject pronoun, but Arabic does not always need one when the subject is already clear.

A more Standard Arabic version would be something like:

• أختي تستطيع أن تعمل وتستمع إلى الراديو في الوقت نفسه

Some main differences are:

• Levantine اختي vs Standard أختي
• Levantine بتقدر vs Standard تستطيع
• Levantine usually drops أن, while Standard often uses it
• Levantine تشتغل is very everyday spoken Arabic
• Levantine بنفس الوقت corresponds to Standard في الوقت نفسه

So the sentence you have is clearly natural spoken Levantine, not formal Standard Arabic.