As there is no reservoir capacitor the out put voltage is a series of pulses, at the moment, the pulses are half sinewaves with alternate ones missing. If you try to measure this voltage your meter will read very low. If you use the bridge rectifier, then the situation improves as you will have a continous train of half sine wave pules, which will be a good improvement. There will always be an inbuilt problem because there will be no charging current until the pulse voltage exceeds the battery voltage, then the charging current will occur, until the level of the pulse drops below the battery voltage. So the current might only flow for 10% of the time, so putting in a current meter, its reading will be the mean of the current pulses, while the peak current would be 10 times higher.
Also because you have only a half wave rectifier, the mains transformer can only deliver a half (or less) of its rated output.
Frank