The structure and 2 alpha+2p breakup of C-10, the only known Brunnian nucleus, has been studied at 33.3 MeV/nucleon. The breakup kinematics were used to reconstruct the C-10 -> B-9 +p,B-9 -> Be-8 +p,Be-8 ->alpha+alpha and C-10 -> Be-6 +alpha,Be-6 -> Li-5 +p,Li-5 ->alpha+p decay paths. Proton emission was seen to be favored. The decay of excited states at E-x=4.20,5.31, and 6.74 MeV was observed. The previously unobserved state at 4.20 MeV may correspond to a J(pi)=0(+)alpha+2p+alpha cluster structure.