Better - but not much better.
What you should aim to achieve is a low DC resistance across the antenna (to prevent static damage) but a high AC impedance AT THE FREQUENCY OF INTEREST. You can then measure the AC level with a simple half wave rectifier. Using a bridge isn't particularly useful, especially if you are looking for low level signals because you have two diodes in series, whichever polarity you look at, that means two voltage drops across their PN junctions and therefore less voltage recovered.
Placing the inductor across the antenna points with a single diode rectifier will work better but beware that the inductor needs to be selected for the frequency band you want to sense. You will get broader frequency coverage but less sensitivity if you use a resistor instead.
Also note that unless you are close to the signal source, the output will be quite low. Levels typically picked up from commercial masts is in the uV range so you may need amplification before sending the voltage to your ADC, even if it is a 10-bit one.
Brian.