המוזיאון היה מעניין, ואני רוצה לחזור אליו בשבוע הבא.

ה־ is the Hebrew definite article, the equivalent of the.

So:

• מוזיאון = museum
• המוזיאון = the museum

In this sentence, we are talking about a specific museum, so Hebrew uses ה־.

Hebrew usually omits is/are in the present tense, but not in the past.

So:

• המוזיאון מעניין = the museum is interesting
• המוזיאון היה מעניין = the museum was interesting

Here, היה means was. Hebrew needs it because the sentence is in the past.

They match המוזיאון, which is a masculine singular noun.

Hebrew words often agree with the noun they describe or refer to.

So here:

• המוזיאון = masculine singular
• היה = masculine singular past form of to be
• מעניין = masculine singular interesting

If the noun were feminine singular, you would expect forms like:

• הייתה
• מעניינת

In Hebrew, the word and is usually not written as a separate word. It is attached as a prefix:

• ו = and
• אני = I
• ואני = and I

This is completely normal in Hebrew spelling. The same thing happens with many other words:

• והמוזיאון = and the museum
• ורוצה = and wants / and want

Yes. In unpointed Hebrew, רוצה is spelled the same for both masculine and feminine singular, but it is pronounced differently.

• male speaker: רוֹצֶה = rotze
• female speaker: רוֹצָה = rotza

So:

• a man says אני רוצה
• a woman also writes אני רוצה

The spelling stays the same, but the pronunciation changes.

After verbs like want, Hebrew usually uses the infinitive, just like English often uses to + verb.

So:

• רוצה = want
• לחזור = to return / to go back

Together:

• רוצה לחזור = want to return / want to go back

The ל־ at the beginning of לחזור is the normal infinitive marker here, similar to English to in to return.

אליו means to him or to it, depending on context.

Here it means to it, referring back to המוזיאון.

It is made from:

• אל = to, toward
• ־יו = him / it (masculine singular suffix)

So:

• אליו = to him / to it

Because מוזיאון is masculine singular, אליו is the correct form.

Yes. לחזור למוזיאון is also possible and very natural.

The difference is mainly style:

• לחזור למוזיאון = to return to the museum
• לחזור אליו = to return to it

Using אליו avoids repeating המוזיאון. Hebrew does this a lot, just like English does with it.

Two things are happening here.

First, הבא means next or literally coming in this kind of time expression.

So:

• השבוע הבא = the next week / next week

Second, after the preposition ב־ (in/on), the definite article ה־ is absorbed:

• ב + השבוע becomes בשבוע

So בשבוע הבא is basically in the next week / next week.

Also, Hebrew adjectives normally come after the noun, not before it. That is why Hebrew says:

• שבוע הבא literally week next

not the English order next week.

So the structure is normal Hebrew noun + adjective order.