Does my sentence below grammatically correct?

artis need read english stories,

 verb needed in questionher poem recitation in the competition is marvelous 

It sounds a little awkward, and I think most of us would expect "was impeccable" rather than "is impeccable", but your sentence is grammatically correct.

Yes, your sentence is grammatically correct.

Is my sentence given below grammatically correct?

"Her poem recitation in the competition is impeccable".

Yes, your sentence is grammatically correct.

IS my sentence . . . 

While "Her poem recitation in the competition is impeccable." is correct, it might actually be better as: "That poem competition of her recitation sounds impeccable." 

The sentence below is fine, but the question you posted sucks. You should have put:

IS my sentence below grammatcially correct?

IS my sentence below grammatically correct?  Yes.  Your usage of "is" rather than "was" is unusual, but it is correct.

it sounds okay to me