The ion energy distribution functions (IEDF) have been measured for a helium atmospheric pressure dielectric barrier discharge jet expanding into the air and impacting a metal or ceramic surface. The plasma jet produces ionization waves as guided positive streamers that reach the surface. Molecular beam mass spectrometry (MBMS) with an energy filter has been used to monitor the IEDFs at a distance of 1.5 cm from the dielectric barrier discharge plasma jet exit. The species are sampled from the supersonic expanding helium beam passing into the MBMS through a 40 $\mu$m (metal) or a 50 $\mu$m (ceramic) diameter orifice. N2+, O2+, NO+, O3+ and water cluster ions (H2O)nH^+ (n=1...4) are abundantly produced in the discharge. The analysis of the time-resolved IEDFs reveals that all ions are predominantly sampled at a reference energy E when using the metallic orifice. This energy E is determined by the seeding of the ions into the supersonic expanding helium beam into the MBMS. After the impact of the streamer, an afterglow of 10 $\mu$s is observed when ions are continuously sampled at an energy higher than E by a few 0.1 eVs. This is resolved by postulating a positive space-charge region in front of a positively charged surface. The temporal sequence of the ion impact is consistent with reaction schemes in air plasmas, where O_2+ and N2+ are created before the formation of NO and O3, as well as larger water cluster ions.