הספרנית בספרייה החדשה זכרה אותי מהשבוע שעבר והראתה לי איפה נמצאים המילונים.

הספרנית means the female librarian.

The ending -ית is a common way to form some feminine nouns in Hebrew.
Here:

• ספרן = a male librarian
• ספרנית = a female librarian

Because the subject is feminine, the verbs later in the sentence are also feminine: זכרה and הראתה.

The word ב־ means in. When it is attached to a definite noun with ה־ (the), Hebrew usually combines them.

So:

• ב + ספרייה = in a library → בספרייה
• ב + הספרייה = in the library → also written בספרייה

The ה of the definite article is absorbed into the preposition. This is very common in Hebrew.

The same thing happens with other prepositions too:

• ל + הבית → לבית = to the house
• כ + הילד → כילד = as the child / like the child depending on context

Hebrew adjectives usually come after the noun, and they must agree with the noun in:

• gender
• number
• definiteness

So:

• ספרייה is feminine singular
• therefore the adjective must also be feminine singular: חדשה
• because the noun is definite (the library), the adjective must also be definite: החדשה

So:

• ספרייה חדשה = a new library
• הספרייה החדשה = the new library

In the Hebrew past tense, verbs agree with the subject in gender and number.

The subject is הספרנית (the female librarian), so the verb must be feminine singular:

• זכר = he remembered
• זכרה = she remembered

That is why the sentence has זכרה אותי.

They are two different kinds of object pronouns.

• אותי = me as a direct object
• לי = to me / for me as an indirect object

In this sentence:

• זכרה אותי = she remembered me
  • me is the direct object of remembered
• הראתה לי = she showed me
  • literally she showed to me

This is a very important distinction in Hebrew.

Some more examples:

• הוא ראה אותי = he saw me
• הוא נתן לי ספר = he gave me a book

Literally, מהשבוע שעבר means something like from the week that passed.

Breakdown:

• מ־ = from
• השבוע = the week
• שעבר = that passed / last

Together: from last week.

This is a normal Hebrew way to talk about time reference:

• מהשבוע שעבר = from last week
• מהחודש שעבר = from last month
• מהשנה שעברה = from last year

Notice that שעבר / שעברה agrees with the noun:

• שבוע is masculine → שעבר
• שנה is feminine → שעברה

Because שבוע (week) is a masculine noun.

The word שעבר here behaves like an adjective meaning last / that passed, and it agrees with the noun it describes:

• שבוע שעבר = last week
• חודש שעבר = last month
• שנה שעברה = last year

So the masculine noun שבוע requires שעבר.

הראתה means she showed.

It comes from the verb להראות = to show.
This verb is in the hif'il pattern, which often has a causative sense.

Past tense forms include:

• הראיתי = I showed
• הראית = you showed
• הראה = he showed
• הראתה = she showed

In the sentence, it matches the feminine subject הספרנית.

Also, the ו at the beginning simply means and:

• והראתה = and she showed

This means where the dictionaries are / where the dictionaries are located.

Breakdown:

• איפה = where
• נמצאים = are found / are located
• המילונים = the dictionaries

Hebrew often uses נמצא / נמצאת / נמצאים / נמצאות to mean that something is located somewhere.

So איפה נמצאים המילונים is a very natural way to say where the dictionaries are.

Because המילונים is masculine plural.

The verb/adjectival form נמצאים must agree with המילונים:

• נמצא = masculine singular
• נמצאת = feminine singular
• נמצאים = masculine plural
• נמצאות = feminine plural

Since מילונים (dictionaries) is masculine plural, the correct form is נמצאים.

המילונים means the dictionaries.

Breakdown:

• מילון = dictionary
• מילונים = dictionaries
• המילונים = the dictionaries

This is a regular masculine plural:

• singular: מילון
• plural: מילונים

Hebrew word order is often flexible, but this sentence is actually very natural.

A rough structure is:

• הספרנית בספרייה החדשה = the librarian in the new library
• זכרה אותי מהשבוע שעבר = remembered me from last week
• והראתה לי = and showed me
• איפה נמצאים המילונים = where the dictionaries are

A native English speaker may expect something more tightly tied together, but Hebrew often allows information like location (בספרייה החדשה) and time reference (מהשבוע שעבר) to appear in places that still sound perfectly normal to native speakers.

Sometimes מ־ with a time expression can suggest since, depending on context, but here the most natural meaning is from last week in the sense of she remembered me from last week.

In other words, she recognized or remembered the speaker because they had met the previous week.

If the sentence were specifically emphasizing duration from last week until now, the wording would usually be different or the context would make that clearer.