The Lady bowed her head, and she turned then to Boromir, and to him she gave a belt of gold; and to Merry and Pippin she gave small silver belts, each with a clasp wrought like a golden flower.
To Legolas she gave a bow such as the Galadhrim used, longer and stouter than the bows of Mirkwood, and strung with a string of elf-hair. With it went a quiver of arrows. ("LOTR: The Fellowship of the Ring", Chapter VII, "FAREWELL TO LÓRIEN")
Now, I'm not an archery expert; but it's pretty obvious that an expert archer being given a bow that's quite different from the one he trained with all his life, with different draw strength, is NOT necessarily a good idea. Even if it's a better bow.
Did canon address this seeming issue of the gift in any way?