شهر العسل بعد حفل الزفاف.

Yes. شهر means month, and العسل means the honey. Together, شهر العسل is the standard Arabic expression for honeymoon.

This is an iḍāfa construction, often called a genitive/possessive construction:

• شهر = month
• العسل = the honey

So literally it is the month of honey, but idiomatically it means honeymoon.

Because in an iḍāfa construction, the first noun normally does not take الـ.

So:

• شهر العسل = the honeymoon
• not الشهر العسل

In Arabic, definiteness for the whole phrase can be carried by the second noun. Since العسل is definite, the whole expression شهر العسل is understood as definite.

For the same reason: حفل الزفاف is also an iḍāfa.

• حفل = ceremony / celebration
• الزفاف = the wedding

Together:

• حفل الزفاف = the wedding ceremony

In iḍāfa:

• the first noun usually has no الـ
• the second noun may be definite with الـ

So الحفل الزفاف would be incorrect here.

بعد means after.

In this sentence, it is followed by a noun phrase:

• بعد حفل الزفاف = after the wedding ceremony

Grammatically, بعد is often treated as an adverb/noun of time or place that behaves a bit like a preposition in English. What follows it is in a genitive relationship:

• بعدَ حفلِ الزفافِ in full case marking

For a learner, the important practical point is:

• بعد + noun phrase = after + noun phrase

Examples:

• بعد الدرس = after the lesson
• بعد العمل = after work

It can be understood either way depending on context, but by itself it often feels like a phrase or headline-style expression:

• شهر العسل بعد حفل الزفاف
  = The honeymoon after the wedding ceremony
  or
  = Honeymoon after the wedding ceremony

Arabic often omits words like is in nominal sentences, especially in simple statements or titles.

If fully interpreted as a sentence, it can mean:

• The honeymoon is after the wedding ceremony.

So yes, Arabic can leave out the verb to be in the present tense.

In Arabic, the verb to be is usually not expressed in the present tense.

So:

• شهر العسل بعد حفل الزفاف
  literally looks like
• honeymoon after wedding ceremony

but naturally means:

• The honeymoon is after the wedding ceremony.

This is very normal in Arabic nominal sentences.

A simple pronunciation guide is:

shahr al-ʿasal baʿda hafl az-zafāf

A few notes:

• شهر = shahr
• العسل = al-ʿasal
• بعد = baʿd or baʿda in careful reading
• حفل = hafl
• الزفاف = az-zafāf

Important detail: in الزفاف, the ل of الـ is not pronounced clearly because ز is a sun letter, so:

• الزفاف sounds like az-zafāf, not al-zafāf

Because ز is one of the sun letters.

When الـ comes before a sun letter, the ل sound assimilates to the next consonant. So:

• الزفاف is written with الـ
• but pronounced az-zafāf

Compare:

• العسل → al-ʿasal
  because ع is a moon letter, so the ل is pronounced
• الزفاف → az-zafāf
  because ز is a sun letter

A fully vocalized version would typically be:

شَهْرُ العَسَلِ بَعْدَ حَفْلِ الزَّفَافِ

Breakdown:

• شهرُ = nominative, if it is the subject/topic
• العسلِ = genitive, because it is the second part of an iḍāfa
• بعدَ = usually accusative as an adverbial noun
• حفلِ = genitive after بعد in this construction
• الزفافِ = genitive as the second part of the iḍāfa حفل الزفاف

In normal unvowelled Arabic writing, these endings are usually not written, so learners mostly focus first on the word order and structure.

It most naturally means the wedding ceremony or wedding celebration.

• حفل = ceremony, celebration, event
• الزفاف = the wedding

So حفل الزفاف points to the event itself, not marriage in the abstract.

Depending on context, English might translate it as:

• the wedding ceremony
• the wedding celebration
• sometimes simply the wedding

No. Just like honeymoon in English does not have to last exactly one moon cycle, شهر العسل is simply the standard term for the post-wedding trip or period.

So even though:

• شهر literally means month

the whole phrase:

• شهر العسل

is just the normal idiomatic expression for honeymoon.