Yes, he'll be on it, twice.
this page lists all the songs in the movie, along with who sings them.
This page lists the songs available on the soundtrack.
1. "All My Loving" - Jim Sturgess
2. "I Want To Hold Your Hand" - TV Carpio
3. "It Won’t Be Long - Evan Rachel Wood
4. "I’ve Just Seen A Face" - Jim Sturgess
5. "Let It Be" - Carol Woods, Timothy T. Mitchum
6. "Come Together" - Joe Cocker, Martin Luther
7. "Something" - Jim Sturgess
8. "I Am The Walrus" - Bono
9. "Oh Darling" - Dana Fuchs, Martin Luther
10. "Across the Universe" - ???
11. "Helter Skelter" - Dana Fuchs
12. "Strawberry Fields Forever" - Jim Sturgess, Joe Anderson
13. "Happiness Is A Warm Gun" - Joe Anderson
14. "Blackbird" - Evan Rachel Wood
15. "Hey Jude" - Joe Anderson
16. "Lucy In The Sky With Diamonds" - Bono
All songs performed by cast members during the movie, other than Lucy In The Sky With Diamonds, which is played over the end credits.
Other songs used in the film:
"Girl" - Jim Sturgess
"Hold Me Tight" - Jim Sturgess, Evan Rachel Wood, Lisa Hogg
"With A Little Help From My Friends" - Joe Anderson, Jim Sturgess & Dorm Buddies
"Why Don't We Do It In The Road" - Dana Fuchs
"If I Fell" - Evan Rachel Wood
"I Want You" - Joe Anderson
"Dear Prudence" - Dana Fuchs, Jim Sturgess, Evan Rachel Wood, TV Carpio
"Flying" - The Secret Machines
"Blue Jay Way" - The Secret Machines
"The Benefit Of Mr. Kite" - Eddie Izzard
"Because" - Evan Rachel Wood, Jim Sturgess, Joe Anderson, Dana Fuchs, TV Carpio, Martin Luther
"Revolution" - Jim Sturgess
"While My Guitar Gently Weeps" - Martin Luther
"Don't Let Me Down" - Dana Fuchs
"All You Need Is Love" - Jim Sturgess, Dana Fuchs
All songs performed by cast members except Flying and Blue Jay Way. I don't know who is singing Across the Universe. It's listed on the soundtrack page, but not the other page with all the good info, but it
is heard during the trailer