اليوم بالليل رح احضر حلقة تانية، وبعدها ممكن يكون عندي وقت اقرا.

It is Levantine colloquial Arabic. A few clear clues are:

• رح for the future, instead of Standard Arabic سـ or سوف
• تانية instead of more formal أخرى or ثانية
• informal spelling like احضر and اقرا, where hamzas are often left out in casual writing

A Standard Arabic version would look more formal and a bit different in structure.

Yes, literally it is today at night, but in Levantine that is a very natural way to say tonight.

• اليوم = today
• بالليل = at night / in the evening

So together they mean tonight in everyday speech. You may also hear الليلة, but اليوم بالليل is very common in conversation.

رح is a future marker. It tells you the following verb is about the future, so:

• رح احضر = I will watch / I’m going to watch

In Levantine, رح is one of the most common ways to form the future. It is much more conversational than Standard Arabic future markers.

Because after رح, Levantine normally uses the bare imperfect verb without بـ.

Compare:

• بحضر = I watch / I attend / I am watching / I usually watch
• رح احضر = I will watch

So بـ is often used for the present, habitual, or ongoing sense, but after رح it usually drops.

Yes, it can. In Levantine, يحضر can mean:

• attend something, like a class or event
• watch something, especially a show, episode, lecture, or film

So احضر حلقة is perfectly natural for watch an episode. Another very common colloquial option would be أتفرج على حلقة.

Because in Arabic, adjectives usually come after the noun.

So:

• حلقة = episode
• تانية = second / another

Also, حلقة is a feminine noun, so the adjective must also be feminine:

• feminine: حلقة تانية
• masculine: فيلم تاني

So the word order and agreement are both normal here.

It can mean either one, depending on context.

In everyday Levantine, تاني / تانية often means:

• second
• another / one more

So حلقة تانية could mean:

• a second episode
• another episode

Usually the wider context tells you which meaning is intended.

Literally, وبعدها means and after it or and after her, because -ها is the suffix for her / it.

Here it most naturally refers to حلقة, which is feminine. So:

• بعدها = after it / after that

In real speech, though, بعدها is very often used more loosely to mean after that or afterwards, without people thinking too hard about the grammar.

Here يكون helps build the idea there might be / I might have.

The structure is roughly:

• ممكن = possible / maybe
• يكون عندي وقت = there is / will be time with me = I have time

So ممكن يكون عندي وقت means something like:

• I might have time
• It may be that I have time

In English we usually say I might have time, but Arabic often uses this extra be verb in this kind of sentence.

Arabic often expresses possession with a preposition, not with a direct verb like English have.

• عند = at
• عندي = at me

So:

• عندي وقت literally = there is time at me
• natural English = I have time

This is a very common Arabic pattern:

• عندي سيارة = I have a car
• عندها فكرة = she has an idea

Because after words like ممكن, Levantine often uses the bare imperfect without بـ.

So:

• بقرأ = I read / I’m reading / I usually read
• اقرا = read / to read / I read, in a non-indicative kind of environment

After modal-like words such as:

• ممكن
• بدي
• لازم
• رح

the بـ often disappears.

So وقت اقرا works like time to read or time for me to read.

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

English says:

• time to read

Levantine often just uses a finite verb directly:

• وقت اقرا

So the idea of English to read is often expressed by just using the verb itself, without a separate word corresponding to to.

That is very common in informal colloquial writing.

In more careful spelling, you might see:

• أحضر
• أقرأ

But in texting, subtitles, and casual online writing, people often leave hamzas out, especially in dialect writing. So احضر and اقرا are completely normal informal spellings.