I guess you mean Starship Troopers?
If so, not sure if I agree. Yes, the "sexy young adults going to academy" has a bit of a similar vibe, especially how surprisingly militaristic with a shiny look ST09s academy is. But overall I think these two movies depart sharply after that.
I always thought ST09 was an attempt at playing Galaxy Quest straight.
It steals so much of the same imagery, even most of the jokes. Nero is essentially Sarris, the Narada looks and feels like Sarris' ship (and unlike any previous Trek ship) - hell, it even fires the very same type of missiles at the Enterprise!
And the movie is just too similarly structured, with too many similar setpieces and scenes to be coincidental - from letting Dr. Lazarus grow through emotional death scenes, the wacky "chompers" inside the ship, the unconnected "there's always a bigger fish"-monster-on-planet moment, the "Sarris tortures the previous Captain"-scene, the "helmsman f-s up the glorious departure from spacedock"-scene, the "wacky-engineer-makes-a-difficult-beaming-up-work", the making fun of the redshirt-trope, the magic time mcguffin(tm) being stored inside the ship, hell, even phaser-fights-in-coridors look more like Galaxy Quest than ever on Star Trek (or Wars) before.
Oh yes, sorry, I meant Starship Troopers (corrected). Visually, I'll say Galaxy Quest resembles Trek 2009 a lot.
Story wise, there are a lot similarities between Trek 2009 and Starship Troopers. Here's the similarities.
Starship Troopers;
1. Rico, starts off as a confused, aimless youth.
2.Talks with a mentor (his classroom teacher who's also an officer in the service), and decides to join the service. His friends do too.
3. Has tension with a superior officer and rival love interest.
4. Rico rises during recruit training, but makes a mistake during a live round exercise. A recruit gets killed, Rico gets disciplined as punishment. Rico then decides to quit.
5. The "bugs" attack earth killing a large number of people
6. The recruits are then activated and put on ships to confront the bugs.
7. Rico changes his mind, goes to an older soldier and convinces him to let him back in. He's let back in.
8. Rico's mentor, (the classroom teacher) is the commander of his squad.
9. The first wave of soldiers is annihilated.
10. Rico's mentor is killed, he's made temporary squad leader.
11. They defeat the bugs, and at the end Rico is shown as a Lieutenant, the squad commander, and his friends shown as senior commissioned officers.
Trek 2009;
1. Kirk, starts off as a confused aimless youth.
2. Talks with a mentor, (captain Pike) decides to join Starfleet academy. Uhura, McCoy, Sulu do too.
3. Has tension with a superior (Spock)
4. During the Kobayashi Maru, Kirk is caught cheating, gets put on suspension as punishment.
5. Nero attacks Vulcan, killing a huge number of people
6. The cadets are commissioned and put on ships to confront the danger.
7. Kirk wants to come too, but is on suspension. He convinces another recruit (McCoy) to help get him on the ship.
8. Kirk's mentor, Pike, is the captain of the Enterprise
9. The first set of ships sent in is annihilated.
10. Pike is severely injured and Kirk ends up taking temporary command of the Enterprise
11. They defeat Nero and at the end, Kirk is shown as the captain of the Enterprise and his friends are all senior officers.
I could be seeing all of this subjectively, but the coincidences are crazy, lol.