Formularul de înscriere este pe masă.

Because Romanian usually puts the definite article at the end of the noun, not before it.

• formular = form
• formularul = the form

So formularul is the Romanian equivalent of the form.

It is neuter.

In Romanian, neuter nouns behave:

• like masculine in the singular
• like feminine in the plural

So you get:

• un formular = a form
• formularul = the form
• două formulare = two forms
• formularele = the forms

Here de links two nouns to form a phrase meaning a form for registration / registration form.

• formular = form
• înscriere = registration, enrollment, sign-up
• formular de înscriere = registration form

In this kind of structure, de often has the sense of for or of, depending on what sounds most natural in English.

Because in Romanian, when a noun follows de to show type, purpose, or function, it is usually left without the definite article.

So:

• formular de înscriere = registration form
• not normally formular de înscrierea

This is very common in Romanian:

• sală de sport = gym / sports hall
• periuță de dinți = toothbrush
• formular de înscriere = registration form

It is a noun, formed from the verb a înscrie = to register / to enroll / to sign up.

So:

• a înscrie = to register someone / to enroll someone
• înscriere = registration / enrollment

English often does something similar:

• to register → registration

Yes. Este is the full 3rd person singular form of a fi = to be.

• este = is
• e = a shorter, very common spoken form of is

So both are correct:

• Formularul de înscriere este pe masă.
• Formularul de înscriere e pe masă.

The version with este sounds a little fuller or slightly more careful; e is very natural in everyday speech.

Because Romanian often uses a bare noun after a preposition in common location expressions, even when English uses the.

So pe masă is a very natural way to say:

• on the table
• or sometimes on a table, depending on context

Romanian and English do not always match article-for-article in these phrases.

Compare:

• pe masă = on the table / on a table
• în casă = in the house / at home
• la școală = at school

If you need to make the table more specifically identifiable, Romanian often adds more information:

• pe masa din birou = on the table in the office

Yes. The sentence as given has a neutral, straightforward order:

• Formularul de înscriere este pe masă.

But Romanian can move things around for emphasis:

• Pe masă este formularul de înscriere.

This puts more focus on where it is. English can do something similar with stress, but Romanian word order is generally more flexible.

These are two important Romanian vowel sounds:

• î = a close central vowel, a sound English does not really have
• ă = the schwa sound, like the first vowel in about

In this sentence:

• înscriere begins with î
• masă ends with ă

A rough pronunciation guide is:

for-mu-LA-rul de în-scri-E-re ES-te pe MA-suh

A few notes:

• ă in masă is not a full a sound; it is softer, more like uh
• este often sounds like YES-te
• stress is roughly on -lar- in formularul, on -e- in înscriere, and on the first syllable in masă

You would usually say:

• Un formular de înscriere este pe masă.

Here:

• un formular = a form
• formularul = the form

So the difference is:

• Formularul de înscriere este pe masă. = The registration form is on the table.
• Un formular de înscriere este pe masă. = A registration form is on the table.

It becomes:

• Formularele de înscriere sunt pe masă.

Breakdown:

• formularele = the forms
• sunt = are
• pe masă = on the table

So:

• Formularul de înscriere este pe masă. = The registration form is on the table.
• Formularele de înscriere sunt pe masă. = The registration forms are on the table.