wrapping

The word (at least in the US) is "wrapping" paper, not "wrap" paper.

However, it's completely unnecessary to say that. Did you think they would wrap it in toilet paper? Delete "with wrap[ping] paper."

You need a comma after "gift" in the first set.

After wrapping the gift send it to my friend
After wrapping the gift with wrap paper send it to my friend.

Do not send the gift to anyone without wrapping it
Do not send the gift to anyone without wrapping it with wrap paper

Which of the above sentences is correct? None are correct, because a sentence must have punctuation at the end.

BarbaraPAHowever, it's completely unnecessary to say that.

ok thanks

BarbaraPA Did you think they would wrap it in toilet paper?

I had a doubt whether to use "wrapping paper " in the sentences or not so I came here to ask you guys. Sorry if that bothered you.

Ok thanks, so the single word "wrapping" is conveying the entire meaning without the use of "wrapping paper". Thanks for letting me know.

Here are some ways to say things.

Use the blue wrapping paper for Jim's present and the wrap Jeff's present in the green paper.
As soon as a I wrap this present, we'll be ready to go to the party.
I love the wrapping paper you used on this present?
I like to use silver and gold wrapping paper for the gifts I give for Christmas.

ok, thank you very much!

The third one should be a ! not a ?

Sorry about that.

Ok got it.