Entrainment of air bubbles into flowing water increases significantly the interfacial area between the two phases hence enhancing the air-water mass transfer. The air bubble characteristics are thus of direct relevance to the waterbody aeration and oxygenation, which should be understood in the context of bubbly-flow turbulence development. In this paper, we studied experimentally a canonical aerated flow featured by a two-dimensional jet over a sudden bottom drop followed by a sloping open-channel flow. This is a representative scenario of open-channel flow with simultaneous free-surface air-water exchange and bottom aeration into the deep water. In addition to the air concentration and air flux evolutions upstream and downstream of the jet impact on the channel bed as well as from bottom to the free-surface, the local and accumulative bubble count rate distributions were depicted. The air-water flow structures were revealed at bubble scales with the aid of a further characterisation of the bubble chord length spectrum and mean bubble size distributions, indicating intense bubble breakups following the jet impact and next to the bottom boundary layer. Although the jet impact on the dry bottom was responsible for a substantial air loss, an increasing number of smaller bubbles were produced and prevented drastic drop in the air-water interfacial area. The mean bubble size and specific interfacial area were predicted under some rough assumption for the deep-water mass transfer. An insight into the bubble-turbulence interplay was presented based on a statistic bubble clustering analysis.