Το ηλεκτρονικό βιβλιάριο υγείας είναι ενημερωμένο.

Το is the definite article meaning the.

In this sentence, το goes with βιβλιάριο because βιβλιάριο is:

• neuter
• singular
• in the nominative case (the subject of the sentence)

So το ηλεκτρονικό βιβλιάριο υγείας means the electronic health booklet/record.

Because ηλεκτρονικό must agree with βιβλιάριο.

Greek adjectives change form to match the noun they describe in:

• gender
• number
• case

Here, βιβλιάριο is neuter singular nominative, so the adjective also has the neuter singular nominative form:

• masculine: ηλεκτρονικός
• feminine: ηλεκτρονική
• neuter: ηλεκτρονικό

So το ηλεκτρονικό βιβλιάριο is grammatically matched.

Βιβλιάριο is a neuter noun meaning something like:

• booklet
• little book
• in some contexts, an official record booklet

It comes from βιβλίο meaning book, with a suffix that gives the sense of a smaller booklet.

In real-life Greek usage, βιβλιάριο υγείας traditionally refers to a health booklet/health record document, though in modern contexts it may also refer to a digital or electronic version.

Because υγείας is the genitive singular form of υγεία.

• υγεία = health
• υγείας = of health

So βιβλιάριο υγείας literally means booklet of health, which English naturally expresses as health booklet or health record.

This is a very common Greek pattern:

• κέντρο πόλης = city center, literally center of city
• κάρτα μέλους = membership card, literally card of member
• βιβλιάριο υγείας = health booklet, literally booklet of health

Because Greek often expresses of using the genitive case instead of a separate word.

In English, we usually need a preposition:

• booklet of health
• record of health

In Greek, the noun simply changes form:

• υγεία → υγείας

So the idea of of health is built into the ending -ας here.

Είναι means is or are, from the verb είμαι = to be.

In this sentence, it links the subject to an adjective:

• Το ηλεκτρονικό βιβλιάριο υγείας = the electronic health booklet
• είναι ενημερωμένο = is updated / is up to date

So this is a standard Greek to be + adjective sentence, just like in English:

• The record is updated
• Το βιβλιάριο είναι ενημερωμένο

Because ενημερωμένο agrees with the subject, βιβλιάριο, which is neuter singular.

The adjective ενημερωμένος / ενημερωμένη / ενημερωμένο can mean:

• updated
• informed
• up to date

Here it means updated or up to date.

Its forms are:

• masculine: ενημερωμένος
• feminine: ενημερωμένη
• neuter: ενημερωμένο

Since βιβλιάριο is neuter, Greek uses ενημερωμένο.

It can mean both, depending on context.

For people, it often means informed:

• Είμαι ενημερωμένος = I am informed / I am up to date

For documents, systems, records, or files, it often means updated:

• Το αρχείο είναι ενημερωμένο = The file is updated
• Το βιβλιάριο είναι ενημερωμένο = The booklet/record is updated

So in this sentence, updated or up to date is the natural meaning.

The given order is the most natural neutral order:

Το ηλεκτρονικό βιβλιάριο υγείας είναι ενημερωμένο.

Greek word order is more flexible than English because the endings show grammatical relationships more clearly. So other orders are possible for emphasis, such as:

• Ενημερωμένο είναι το ηλεκτρονικό βιβλιάριο υγείας.
• Το βιβλιάριο υγείας είναι ηλεκτρονικό και ενημερωμένο.
  (this changes the meaning slightly)

But for a plain statement, the original version is the best standard phrasing.

The subject is Το ηλεκτρονικό βιβλιάριο υγείας.

You can tell because:

1. it is in the nominative form
2. it matches the idea of what is something
3. ενημερωμένο describes it

A good way to check is to ask:

• What is updated?
• The electronic health booklet/record

That whole noun phrase is the subject.

The adjective forms would change to match the noun.

For example:

• Η ηλεκτρονική κάρτα υγείας είναι ενημερωμένη.
  The electronic health card is updated.
  Here κάρτα is feminine, so you get η, ηλεκτρονική, ενημερωμένη.

• Ο ηλεκτρονικός φάκελος υγείας είναι ενημερωμένος.
  The electronic health file is updated.
  Here φάκελος is masculine, so you get ο, ηλεκτρονικός, ενημερωμένος.

This is one of the most important grammar patterns in Greek: articles and adjectives must agree with the noun.

A rough pronunciation is:

To ilektronikó vivliário iyías íne enimeroméno

A few useful notes:

• ηλεκτρονικό has stress on the last -κό
• βιβλιάριο has stress on -ά-
• υγείας sounds roughly like iyías
• είναι in everyday speech is often pronounced close to íne
• ενημερωμένο has stress on -μέ-

If you want to sound natural, pay special attention to the stressed syllables, because stress matters a lot in Greek.