בשביל המשימה הזאת חיוני לקרוא את הנוהל החדש עד הסוף.

Here בשביל means for, for the purposes of, or when it comes to.

So בשביל המשימה הזאת means something like:

• for this task
• for the purposes of this task
• as far as this task is concerned

A useful note: בשביל is a very common everyday word in Hebrew. In other contexts it can also mean for someone’s sake.

In Hebrew, demonstratives like this usually come after the noun, not before it.

So:

• המשימה הזאת = this task
• הנוהל החדש = the new procedure

This is different from English, where we say this task.

If you say זאת המשימה, that usually means this is the task or this is the task (I mean), which is a different sentence structure.

Because משימה is a feminine noun.

Hebrew demonstratives have to agree with the noun in gender and number:

• masculine singular: הזה / זה
• feminine singular: הזאת / זאת

So:

• הספר הזה = this book
• המשימה הזאת = this task

A common clue is that nouns ending in ־ה are often feminine, and משימה fits that pattern.

Hebrew usually does not use a present-tense word for is / am / are in sentences like this.

So:

• חיוני לקרוא... literally looks like essential to read...
• but in natural English it means it is essential to read...

This is completely normal in Hebrew.
If the sentence were in the past or future, Hebrew would usually add a form of to be, such as היה or יהיה.

חיוני means essential, vital, or crucial.

Grammatically, it is an adjective, but here it is being used in an impersonal way:

• חיוני לקרוא את הנוהל החדש = It is essential to read the new procedure

Hebrew often uses this kind of structure with adjectives like:

• חשוב = important
• הכרחי = necessary
• חיוני = essential

So this pattern is very common:

• חשוב ללמוד
• הכרחי לבדוק
• חיוני לקרוא

Because after a word like חיוני, Hebrew often uses the infinitive form, which is the equivalent of to read.

So:

• לקרוא = to read
• חיוני לקרוא = it is essential to read

This is parallel to English:

• It is important to study
• It is necessary to check
• It is essential to read

The ל־ at the start of לקרוא is the usual marker of the infinitive in Hebrew.

את is the direct object marker. It does not have a separate English translation here.

Hebrew uses את before a definite direct object.

So:

• לקרוא את הנוהל החדש = to read the new procedure

Why is it there? Because הנוהל החדש is definite: the new procedure.

Compare:

• לקרוא נוהל חדש = to read a new procedure
  (no את, because it is indefinite)

• לקרוא את הנוהל החדש = to read the new procedure
  (את appears because it is definite)

Because in Hebrew, when a noun is definite, an adjective describing it must also be definite.

So:

• נוהל חדש = a new procedure
• הנוהל החדש = the new procedure

This is a very important Hebrew rule:

• noun comes first
• adjective comes after it
• the adjective agrees in gender, number, and definiteness

So חדש becomes החדש because it is describing הנוהל, which is definite.

עד הסוף literally means until the end, but in this sentence it means all the way through or to the very end.

So the idea is:

• don’t stop halfway
• read the entire procedure
• read it from beginning to end

This is a very common expression in Hebrew.

Examples:

• תקרא עד הסוף = read all the way to the end
• ראיתי את הסרט עד הסוף = I watched the movie to the end

You can also hear הזו, especially in everyday spoken Hebrew.

So both of these can mean this task:

• המשימה הזאת
• המשימה הזו

In general:

• הזאת sounds more standard or formal
• הזו is very common in speech

For a learner, הזאת is a very safe standard choice.