The bulb will not glow. There is a potential difference between the open electrodes of the batteries but none at the terminals of the bulb. The "circuit" is not a circuit, it is open. Or you could consider it a circuit with an infinite resistance between the electrodes of the batteries. This also explains why there is no current in the circuit.
It will not glow until the circuit is completed. The batteries are not connected so there is no completed path for the current. Connect the positive and negative terminals of the two batteries and then it will glow.
The circuit must be complete for the bulb to light, otherwise no current will flow. A current will flow for a very short period of time, but then a concentration of charge will form that will create a potential difference negating that potential difference from the batteries.