بعد از کلاس با خواهرم به کتابخانه میروم.

Yes. In this sentence, بعد از کلاس means after class.

A useful pattern is:

• بعد از + noun
• بعد از کلاس = after class
• بعد از غذا = after food / after the meal
• بعد از کار = after work

For learners, it is best to memorize بعد از as the normal way to say after before a noun.

Persian usually puts the verb at the end of the sentence.

So this sentence is structured more like:

• After class
• with my sister
• to the library
• I go

That is very normal in Persian. English prefers I go to the library with my sister after class, but Persian often places time and other phrases before the verb.

A rough pattern is:

• time
• companion / place / other information
• destination
• verb

So بعد از کلاس با خواهرم به کتابخانه می‌روم sounds natural.

خواهرم means my sister.

It breaks down like this:

• خواهر = sister
• -م = my

So Persian often expresses possession by attaching a short ending to the noun:

• خواهرم = my sister
• برادرم = my brother
• کتابم = my book

This is very common in Persian. Instead of a separate word like English my, Persian often uses these attached endings.

They do different jobs:

• با خواهرم = with my sister
  Here, با means with and shows companionship.

• به کتابخانه = to the library
  Here, به means to and shows direction or destination.

So:

• با = with
• به = to

That is why both appear in the same sentence.

Because the verb already shows the subject.

می‌روم means I go / I am going. The ending -م tells you the subject is I.

So Persian often drops subject pronouns when they are already clear from the verb.

For example:

• می‌روم = I go
• می‌روی = you go
• می‌رود = he/she goes

You can say من می‌روم for emphasis, but it is not necessary here.

Persian usually does not use a definite article like English the.

So:

• کلاس can mean class or the class
• کتابخانه can mean library or the library

The exact meaning depends on context.

That is why به کتابخانه can naturally mean to the library even though there is no separate word for the.

It is the present tense, and in context it can mean either:

• I go
• I am going

Persian present forms are often used for:

• habitual actions: I go
• near-present or current actions: I’m going
• future-like meaning when context makes it clear

In this sentence, if it is just a general statement, it most naturally means:

• After class, I go to the library with my sister.

But in the right context, it could also mean:

• After class, I’m going to the library with my sister.

It comes from the verb رفتن = to go.

Its present stem is رو / رَو.

So:

• می- = present/imperfective marker
• رو
• -م = I

Together:

• می‌روم = I go / I am going

This verb is a little tricky because the infinitive is رفتن, but the present stem is not رفت-. Learners usually just memorize:

• رفتن = to go
• می‌روم = I go
• می‌روی = you go
• می‌رود = he/she goes

The more standard modern spelling is می‌روم with a small invisible separator called a zero-width non-joiner.

So you will often see:

• می‌روم rather than میروم

Both may appear in informal typing, but می‌روم is the preferred standard spelling.

The same applies to many verbs with می:

• می‌خوانم
• می‌بینم
• می‌روم

A natural pronunciation is roughly:

ba'd az-e kelâs bâ khâharam be ketâbkhâne miram

A few notes:

• بعد از often sounds like ba'd az
• کلاس = kelâs
• خواهرم = khâharam
• کتابخانه = ketâbkhâne
• می‌روم in everyday speech is often pronounced closer to miram

So in careful writing it is می‌روم, but in conversation you will often hear something like میرم / miram.

Yes. Persian word order is somewhat flexible, as long as the sentence remains clear and natural.

For example, these are possible:

• بعد از کلاس با خواهرم به کتابخانه می‌روم.
• با خواهرم بعد از کلاس به کتابخانه می‌روم.
• به کتابخانه بعد از کلاس با خواهرم می‌روم.

But the original version sounds very natural because it starts with the time phrase and ends with the verb, which is a very common Persian pattern.