אני פוגשת אותו מחר בבנק, כי הוא רוצה לתת לי את המסמך.

Because פוגשת is the feminine singular present-tense form of the verb לפגוש (to meet).

So this sentence is being said by a female speaker:

• אני פוגשת = I am meeting / I meet said by a woman

If a man were saying it, it would be:

• אני פוגש אותו מחר בבנק...

Hebrew present tense usually agrees with the subject in gender and number.

This is very common in Hebrew. The present tense is often used for a planned future action, especially when there is a time word like מחר (tomorrow).

So:

• אני פוגשת אותו מחר literally looks like I am meeting him tomorrow
• In natural English, that works too: I’m meeting him tomorrow

Hebrew does this a lot for arrangements, plans, and scheduled events.

אותו means him, as a direct object.

Compare:

• הוא = he → subject
• אותו = him → direct object

In this sentence:

• אני פוגשת אותו = I am meeting him

You cannot use הוא here, because he is not doing the action; he is receiving the action of meeting.

את is the Hebrew marker for a definite direct object. It does not get translated into English.

Here:

• המסמך = the document
• because it is definite (the document, not just a document), Hebrew uses את

So:

• לתת לי את המסמך = to give me the document

Important:

• את is used before definite direct objects
• it is not the same as the word את meaning you in some other contexts

For example:

• הוא קורא ספר = He is reading a book → no את
• הוא קורא את הספר = He is reading the book → את appears

לי means to me.

It is made from the preposition ל־ (to / for) plus the pronoun ending for me.

So:

• לתת לי = to give to me
• in natural English, usually just to give me

This is an indirect object. The thing being given is את המסמך, and the person receiving it is לי.

Some related forms are:

• לי = to me
• לך = to you
• לו = to him
• לה = to her
• לנו = to us

Because Hebrew combines the preposition ב־ (in / at) with the definite article ה־ (the).

So:

• ב + הבנק becomes בבנק

This is a normal contraction in Hebrew.

So:

• בבנק = in the bank / at the bank

The same kind of thing happens with some other prepositions too, especially ב־, ל־, and כ־.

Because רוצה means wants, and לתת is the infinitive to give.

So:

• הוא רוצה לתת = he wants to give

This works very much like English:

• wants to give
• likes to read
• needs to go

In Hebrew, after a verb like רוצה, you often use an infinitive:

• רוצה ללכת = wants to go
• רוצה לאכול = wants to eat
• רוצה לתת = wants to give

Because it agrees with הוא.

In the clause:

• כי הוא רוצה לתת לי את המסמך

the subject is הוא (he), so the verb must be masculine singular:

• הוא רוצה = he wants

If the subject were she, it would be:

• היא רוצה = she wants

In the present tense, רוצה happens to look the same for masculine and feminine singular in writing, but it still agrees with the subject.

Hebrew word order is fairly flexible, although the version you have is very natural.

Your sentence:

• אני פוגשת אותו מחר בבנק, כי הוא רוצה לתת לי את המסמך.

Other possible orders could be:

• מחר אני פוגשת אותו בבנק...
• אני פוגשת אותו בבנק מחר...

These all can work, but they may sound slightly different in emphasis. The original sentence is a very normal, neutral way to say it.

It can mean either, depending on context.

Hebrew ב־ often covers both English in and at:

• בבנק = in the bank or at the bank

In this sentence, English would probably most naturally say at the bank, but the Hebrew form itself is the same.