नई पहल शुरू हो रही है।

Because पहल is a feminine noun, and the adjective नया (new) must agree with it.

• masculine singular: नया
• feminine singular: नई

So:

• नया कदम = a new step
• नई पहल = a new initiative

पहल usually means initiative, first step, or effort taken to start something.

In this sentence, it means something like an initiative or a new undertaking.

It is also a feminine noun, which is why the sentence uses नई and रही.

शुरू means started / beginning / underway, depending on context.

In Hindi, शुरू होना is a very common expression meaning to start or to begin. So here, शुरू is part of the verbal expression शुरू हो रही है.

You can think of:

• शुरू होना = to begin / to get started

So the sentence is not just using शुरू alone; it is using the whole structure शुरू हो रही है.

Literally, it is the feminine singular present-progressive form of होना (to be / to happen / to become).

Breakdown:

• हो = from होना
• रही = progressive participle, feminine singular
• है = is

So हो रही है means is happening, is taking place, or in this context is starting / is getting underway.

Because पहल is feminine singular, Hindi uses रही है rather than रहा है.

In Hindi, verbs often agree with the subject in gender and number, especially in forms like this.

Here, the subject is पहल, which is:

• feminine
• singular

So the progressive form becomes:

• रही है for feminine singular

Compare:

• कार्यक्रम शुरू हो रहा है। = The program is starting.
  (कार्यक्रम is masculine, so रहा है)

• पहल शुरू हो रही है। = The initiative is starting.
  (पहल is feminine, so रही है)

Because Hindi normally says शुरू होना for to start / to begin in this kind of sentence.

So:

• शुरू हो रही है = is starting / is beginning

Without हो, the sentence would sound ungrammatical or incomplete in standard Hindi.

This is a very common pattern in Hindi, where an adjective-like word combines with होना:

• तैयार हो रहा है = is getting ready / is becoming ready
• शुरू हो रहा है = is starting
• खत्म हो रहा है = is ending

Usually, नई पहल शुरू हो रही है means A new initiative is starting or A new initiative is beginning.

It does not strongly emphasize who is starting it.

If you specifically wanted is being started / launched, Hindi would often use a more clearly passive construction such as:

• नई पहल शुरू की जा रही है।

That version focuses more on the action being done by someone.

So:

• शुरू हो रही है = is starting / is getting underway
• शुरू की जा रही है = is being started / is being launched

Because Hindi does not use articles like a, an, and the the way English does.

So नई पहल can mean:

• a new initiative
• the new initiative

The exact meaning depends on context.

That is very normal in Hindi.

Yes. This is very natural Hindi word order.

Hindi usually places the main verb or verbal expression near the end, so:

• नई पहल = new initiative
• शुरू हो रही है = is starting

So the sentence structure is basically:

• [subject] + [verb phrase]

That makes नई पहल शुरू हो रही है। a completely standard sentence.