אני צריך להביא את הצילום לבנק.

צריך is the masculine singular form, so this sentence is said by a male speaker.

• אני צריך להביא... = I need to bring... (said by a man)
• אני צריכה להביא... = I need to bring... (said by a woman)

Even though אני means I for both men and women, the word צריך / צריכה changes to match the speaker’s gender.

להביא is the infinitive form of the verb, meaning to bring.

After צריך (need / have to), Hebrew normally uses an infinitive:

• אני צריך להביא = I need to bring
• literally: I need to-bring

So this works much like English need to bring.

Here, את does not mean you.
It is the direct object marker.

Hebrew uses את before a definite direct object, usually one with ה־ (the) or something otherwise specific.

So in:

• להביא את הצילום

the word הצילום is a specific thing, so את is needed.

Compare:

• אני מביא צילום = I am bringing a photo / copy
• אני מביא את הצילום = I am bringing the photo / copy

English does not have a direct equivalent for this את, so you usually do not translate it.

The ה־ at the beginning is the Hebrew definite article, meaning the.

• צילום = a photo / a copy / photography
• הצילום = the photo / the copy

Since the sentence uses את, that also tells you the object is definite and specific. So את הצילום means the photo / the copy, not just any photo or copy.

Because the preposition ל־ (to) combines with ה־ (the).

So:

• ל + בנק = לבנק = to a bank
• ל + הבנק becomes לבנק / לַבנק = to the bank

In normal Hebrew spelling, both are written לבנק, and the exact meaning comes from context.
In careful pronunciation, to the bank is often pronounced la-bank, while to a bank would be more like le-bank.

In this sentence, the meaning is to the bank.

צילום can mean different but related things depending on context, such as:

• photograph / photo
• photocopy
• sometimes photography

In a sentence about bringing something to a bank, הצילום often means the photocopy or the copy, because banks commonly ask for copies of documents. But in other contexts it could mean the photo.

So the exact English word depends on the situation.

A common pronunciation guide would be:

ani tsaríkh lehaví et hatsilúm labánk

A few notes:

• אני = ani
• צריך = tsaríkh
  The final sound is the throaty kh sound, like German Bach or Scottish loch.
• להביא = lehaví
• את is often pronounced et
• הצילום = hatsilúm
• לבנק here is commonly pronounced labánk

Yes, Hebrew word order is somewhat flexible.

The most neutral order here is:

• אני צריך להביא את הצילום לבנק.

But you may also hear:

• אני צריך להביא לבנק את הצילום.

Both are grammatical. The first version is usually the most straightforward for learners:
subject + need + infinitive + object + destination

Not exactly in the same way as English need.

In this kind of sentence, צריך behaves more like an adjective or predicate meaning necessary / needful, and then it is followed by an infinitive:

• אני צריך להביא = literally something like I am needing/required to bring

For learners, the easiest practical rule is:

• use צריך / צריכה / צריכים / צריכות
• then add an infinitive

Examples:

• אני צריך ללכת = I need to go
• היא צריכה ללמוד = She needs to study

Only צריך would change to agree with the subject:

• אני צריך להביא את הצילום לבנק. = I need to bring the photo/copy to the bank. (male speaker)
• אני צריכה להביא את הצילום לבנק. = I need to bring the photo/copy to the bank. (female speaker)

Plural:

• אנחנו צריכים להביא את הצילום לבנק. = We need to bring the photo/copy to the bank. (mixed group or all male)
• אנחנו צריכות להביא את הצילום לבנק. = We need to bring the photo/copy to the bank. (all female group)

The infinitive להביא stays the same.