A munkaadó már nagyon tapasztalt.

In Hungarian, the verb to be is often left out in the present tense, third person when the predicate is a noun or an adjective.

So:

• A munkaadó nagyon tapasztalt. = The employer is very experienced.

Hungarian does not need an explicit word for is here.

Compare:

• Én tapasztalt vagyok. = I am experienced.
• Te tapasztalt vagy. = You are experienced.
• A munkaadó tapasztalt. = The employer is experienced.

So English needs is, but Hungarian often does not in this kind of sentence.

A is the definite article, so it means the.

Hungarian has:

• a / az = the
• egy = a / an

Here it is a because munkaadó starts with a consonant sound. Before a vowel, Hungarian uses az instead.

Examples:

• a munkaadó = the employer
• az ember = the person
• egy munkaadó = an employer

Munkaadó means employer.

It is a compound word:

• munka = work
• adó = literally something like giver in this compound

So the literal idea is work-giver, but the normal English translation is employer.

It does not mean employee.
For employee, Hungarian commonly uses alkalmazott or munkavállaló.

Not exactly.

• munkaadó = employer
• főnök = boss

An employer is the person or organization that employs someone. A boss is the person in charge of you at work. Sometimes they may be the same person, but the words are not identical.

So in this sentence, munkaadó is better understood as employer, not automatically boss.

Már usually means already.

In this sentence, it suggests that by now the employer has reached the state of being very experienced, possibly sooner than expected or as a result of time passing.

Compare:

• A munkaadó nagyon tapasztalt. = The employer is very experienced.
• A munkaadó már nagyon tapasztalt. = The employer is already very experienced.

So már adds a sense of by now / already.

Because nagyon means very, and in Hungarian it normally goes before the adjective it modifies.

So:

• nagyon tapasztalt = very experienced
• nagyon jó = very good
• nagyon érdekes = very interesting

This is similar to English word order: very experienced, not experienced very.

Here, tapasztalt is an adjective meaning experienced.

Historically and formally, it is related to the verb tapasztal = to experience, and the form tapasztalt can also be a past-tense verb form in other sentences.

For example:

• Sok nehézséget tapasztalt. = He/She experienced many difficulties.

But in A munkaadó már nagyon tapasztalt, it is clearly an adjective, because it describes the subject and functions like experienced in English.

Hungarian adjectives do not change for gender, because Hungarian has no grammatical gender.

So the same adjective form can describe:

• a man
• a woman
• a thing

Here tapasztalt stays the same because the subject is singular and Hungarian does not mark masculine/feminine the way English sometimes does conceptually.

A useful extra point:

• before a noun, adjectives usually stay unchanged: tapasztalt munkaadó = experienced employer
• in predicate position with a plural subject, the adjective often gets plural -k:
  A munkaadók tapasztaltak. = The employers are experienced.

But in your sentence the subject is singular, so tapasztalt stays just tapasztalt.

This is a natural, neutral Hungarian word order.

Hungarian often works with a topic-comment structure:

• A munkaadó = the topic, what the sentence is about
• már nagyon tapasztalt = the comment, what is being said about it

Also:

• már usually comes before the part it affects
• nagyon comes directly before the adjective tapasztalt

You can move words around in Hungarian, but that usually changes the focus or emphasis.

For example:

• Már nagyon tapasztalt a munkaadó. = stronger emphasis on already
• Nagyon tapasztalt már a munkaadó. = possible, but more marked or conversational

The original sentence is a very normal way to say it.

Yes, in many contexts you could, because munkáltató also means employer.

However, there is a nuance:

• munkaadó = everyday, transparent, common
• munkáltató = often more formal, legal, or administrative

So in a simple sentence like this, munkaadó sounds perfectly natural.

A rough pronunciation guide is:

A munkaadó már nagyon tapasztalt
≈ aw MOON-kaw-aa-doh maar NAH-jon TAH-pahs-taht

A few helpful points:

• stress is usually on the first syllable of each word
• á is a long vowel
• ó is a long vowel
• sz sounds like English s
• gy in nagyon is a special Hungarian sound; an English speaker can roughly approximate it as a soft dy-like sound

So:

• munkaadó → stress on mun
• nagyon → stress on na
• tapasztalt → stress on ta

You would make the noun plural:

• A munkaadók már nagyon tapasztaltak.

That means The employers are already very experienced.

Notice two changes:

• munkaadó → munkaadók = plural noun
• tapasztalt → tapasztaltak = plural predicate adjective

So with a plural subject, the adjective in this type of sentence is also commonly plural.