That sounds like a very not subtle plot hint.
I shot the target with my Elven bow.
This is a little weak. Maybe something like 'I let the string snap forward.'
The silver-eagle feather on the end of the arrow made it sing as it flew through the air, landing in the center of the wooden target.
Do arrows land? Maybe you mean 'stuck.'
I smiled as I reached over my right shoulder to choose another arrow from my quiver. This one had a silver and black feather on the tip, most likely from a gryphon's nest hidden deep in the faraway mountains. It would fly beautifully, just like the creature it had once belonged to. I pulled the bowstring back then released it, landing the arrow in the center of the target.
Other Elves practiced with their bows around me.
Elves shouldn't be capitalized.
More practiced sparring with their blades, sending ringing clashes of metal echoing around the clearing. It may seem unusual for the daughter of the Elven queen to be practicing archery, but I was actually pretty good at it. I was learning to be a knight, like many others my age. Some knights-in-training prefer the bow, some the sword. I stuck with the bow. But in order to become a proper knight, I would have to learn both. At my age of sixteen, most elves had already begun training with the sword.
My age of 16?
I got a late start. Not everybody becomes a knight; some study pottery, or blacksmithing, or learned to speak to the forest. But I love archery. I planned to become a master in both archery and the way of the sword, but I'd barely handled a sword.
Maybe barely handled the latter?
An Elven knight flew overhead on the back of a gryphon, and a dragon roared in the distance. The trees around the training field whispered in the breeze. The city, Raion, the Heart of the Elysrian forest, was beautiful in the spring. All the elves who live here felt a special joy for our city, and the magic that intertwined through our lives. Many elves share a love for things filled with life, whether it be the creatures of the land or the land itself. Some mages even dedicated their entire lives to understanding the forest, and seeing all of it. That in itself is a hard task, as the forest stretches on for a very long distance.
This sentence is weak. You should remove it because the next one explains it.
A dragon would have to fly for many days just to reach the edge of the forest, then it would reach the ocean or the mountains. The forest was a wondrous place, but also mysterious, and even dangerous. Our borders can usually keep out evil, but the occasional dark creature finds its way in. But there are other creatures too, like unicorns and dryads, and dragons and gryphons. Of course, there were the simpler animals too, birds and wolves and such. These animals were commonly seen, but the magical creatures were as rare as Dragonknights. Dragonknights are those who have an instinctive calling for both magic and the ways of a knight, and who bonded to a dragon. Most dragon-bonded elves used magic. Most knights were bonded to a gryphon, or a simpler animal, not a dragon. But to be a knight and a dragonmage...it would be truly amazing. I didn't have an ounce of magical power in me. But, some elves say that magic can sleep in you forever without you ever knowing it's there.
Other than that, I like it! The plot sound cliche, but the writing is pretty good.
Hope this helps!