I read the first chapter and noticed a couple of grammar mistakes; you need to use commas in certain places.

Eg: "Once they arrived in Diagon Alley Artemis had to restrain herself from going to the Quidditch shop first stop was Madam Malkins where they got their robes Apollo getting black ones and Artemis blue ones."
Should be: "Once they have arrived in Diagon Alley, Artemis had to restrain herself from going to the Quidditch shop. First stop was Madam Malkins', where they got their robes; black for Apollo and blue for Artemis."
And "Going at a fast speed she didn’t hear him say “It was nice bumping into you too.”"
Should be: "Going at a fast speed, she didn't hear him say "It was nice bumping into you, too."

Aside from that, as a MASSIVE fan of Greek and Roman mythology, it's slightly jarring, and technically inaccurate. But, I'm picky about mythology.
Firstly, Apollo is the name of the Greek god of music, poetry and Oracles. He was male, so it's slightly confusing Apollo being the name of a girl in this story. However, as you rightly made Apollo and Artemis twin, I’m willing to look over it.
Also, Apollo and Artemis don’t mean the opposites; Artemis either means ‘safe’ or ‘butcher’, while Apollo is thought to mean ‘strength’ or ‘father light’. It wasn’t until later the name was equated with destruction.
However, if you meant the names mean the opposite because Artemis was goddess of the moon and Apollo was god of the sun. You’re technically wrong because Artemis was, in actual fact, goddess of the hunt, hills, forest, virginity, fertility and childbirth. In later myths she became identified with Selene, who is the real Greek Goddess of the moon. Similarly, Helios is the Greek Sun God, while Apollo was simply equated with the sun in later myths.
While Athena was the Greek goddess of wisdom; she was famed for being a virgin goddess. So, it would have probably been more accurate to have Leto as their mother (keeps in with myths, too). The name means ‘hidden/forgotten’.
Yeah . . . I’m incredibly picky about mythology because I love it so much and a lot of time learning it in my spare time.

From what I’ve read, the story is good; however you need to watch out for grammar mistakes and perhaps use a wider vocabulary to keep the readers interested. Aside from that, keep writing!

this story is amazing! why did you stop writing it? *gives you a e-slap on the arm* you're evil for doing that!

are you going to continue this awesometastic story of yours?

interesting, but I found it a bit confusing at first as Apollo is a guys name. intruiging plot though.

dear padme
this is one of the best i have read i enjoyed it
i just hope we here more on the twin sisters

love the story padme

Brilliant start! :D