تشمل الإقامة خدمة الغرف.

Because the subject الإقامة is a feminine singular noun in Arabic, so the verb agrees with it.

• تشمل = she/it includes
• الإقامة = a feminine singular noun meaning the stay / accommodation / lodging

So Arabic uses the feminine singular verb form:

• تشمل الإقامة... = The accommodation includes...

Even though English uses it, Arabic still treats الإقامة as grammatically feminine.

تشمل is a present-tense verb, 3rd person feminine singular, from the root ش م ل.

Its basic meaning is:

• to include
• to comprise
• to cover

So in this sentence:

• تشمل = includes

A useful comparison:

• يشمل = he/it includes for a masculine subject
• تشمل = she/it includes for a feminine subject

Because الإقامة is feminine, we use تشمل.

Arabic very often uses verb–subject–object order, especially in formal written Arabic.

So:

• تشمل الإقامة خدمة الغرف

literally follows:

• includes the accommodation room service

But in natural English, we translate it as:

• The accommodation includes room service

You can also say:

• الإقامة تشمل خدمة الغرف

This is also correct, and it puts more emphasis on الإقامة.
Both are acceptable in MSA.

الإقامة can mean several related things depending on context, such as:

• stay
• accommodation
• residence
• lodging

In a hotel or booking context, it usually means:

• the stay
• the accommodation

So in this sentence, it most likely refers to what is included in a hotel stay or accommodation package.

This is an iḍāfa construction, often called a possessive or genitive construction.

• خدمة = service
• الغرف = the rooms

Together:

• خدمة الغرف = room service
• literally: service of the rooms

In an iḍāfa:

1. The first noun usually does not take ال
2. The second noun can be definite with ال
3. The whole phrase becomes definite if the second noun is definite

So:

• خدمة الغرف = the room service / room service

Why not خدمة الغرفة?
That would mean the service of the room or room service in a singular sense, but the standard expression for room service is خدمة الغرف.

Because the standard Arabic expression for room service is خدمة الغرف, literally service of the rooms.

• غرفة = room
• غرف = rooms
• الغرف = the rooms

Even though English says room service with room in the singular, Arabic normally uses the plural in this expression.

In fully vocalized formal Arabic, the sentence would be:

• تَشْمَلُ الإِقَامَةُ خِدْمَةَ الغُرَفِ

The case endings are:

• الإقامةُ = nominative, because it is the subject
• خدمةَ = accusative, because it is the direct object
• الغرفِ = genitive, because it is the second noun in an iḍāfa construction

So the structure is:

• تشملُ = verb
• الإقامةُ = subject
• خدمةَ الغرفِ = object

In normal everyday writing, these short vowels are usually omitted.

A careful full pronunciation is:

• tashmalu al-iqāmatu khidmata al-ghurafi

In normal pause, many final short vowels are not pronounced, so you may hear something closer to:

• tashmal al-iqāma khidmat al-ghuraf

A rough sound guide:

• تشمل = tash-mal
• الإقامة = al-i-qaa-ma
• خدمة = khid-ma
• الغرف = al-ghu-raf

Notes:

• خ is like the ch in Scottish loch or German Bach
• ق is a deep q sound, not exactly like English k
• غ is a voiced throaty sound, somewhat like a gargled r

Yes, functionally it means the same thing.

Literally, it is:

• service of the rooms

But idiomatically, it is simply:

• room service

This is a very common pattern in Arabic:

• مدير الفندق = hotel manager
• literally: manager of the hotel

So خدمة الغرف works the same way.

Yes. That is a very natural translation.

Depending on context, الإقامة could be translated as:

• the stay
• the accommodation
• lodging

So these are all possible translations depending on the situation:

• The accommodation includes room service.
• The stay includes room service.
• Room service is included in the accommodation.

Then the verb would usually change from تشمل to يشمل.

For example:

• يشمل الفندق خدمة الغرف
• The hotel includes room service

Why?

• الفندق is masculine
• so the verb becomes masculine singular: يشمل

So the contrast is:

• تشمل الإقامة... because الإقامة is feminine
• يشمل الفندق... because الفندق is masculine

Yes. In many contexts, تشمل can mean either of these:

• includes
• covers
• comprises

For example, in travel, hotel, insurance, and package descriptions, تشمل often means that something is part of what is provided.

So in a hotel context:

• تشمل الإقامة خدمة الغرف = The accommodation includes room service

In another context:

• تشمل الخطة التأمين الصحي = The plan includes/covers health insurance

It is definitely natural in formal MSA, especially in:

• hotel descriptions
• booking websites
• brochures
• advertisements
• official information

In everyday spoken Arabic, people might use different wording depending on the dialect, but this sentence is completely normal and clear in Modern Standard Arabic. It sounds especially suitable for written information or formal announcements.