That circuit is well known and loved. The "monitor out" connection can usually be monitored by a multimeter, but can directly drive a analog uA meter. I simply used a DVM multimeter.
My choice would be to add a simple op-amp circuit. It does not have to be a very elaborate instrumentation type, though good low-cost op-amps are available. The first stage can be a buffer of gain=1, offering a high impedance to the monitor point. The next stage can supply some gain as needed to drive a meter, which then has a series resistor to make it a voltage measuring arrangement.
Since a bridge circuit is used to discover a null, you might use more op-amp for a non-linear limiter circuit, to have a high gain at the null, but be able to to handle off-balance situations without bending the meter needle. That way, you get a sensitive bridge that is also robust for overload.
Adding diodes with resistor ballast across the feedback gain-setting resistor of the gain op-amp might even make the whole thing possible with only 2 op-amps.