No. it wont even be that. It will electrically 'ring' with a decaying exponential amplitude envelope sinewave, initial amplitude set by the stored energy in the coil, its inductance and the effective stray capacitance across it (including a contribution from inter-layer capacitances across parts of the coil), at a frequency set by the inductance and the stray capacitance, at a repetition rate determined by the clapper mechanics, e.g. its inertia and the restoring spring force. To further complicate the issue the inductance will vary with how close the clapper arm is to the pole piece. Before the damped sinewave you can expect various truncated pulses to the same amplitude caused by contact bounce. You'll also get a burst of pulses when the clapper contact makes on the return stroke.
If you are tempted to scope it to see what's *really* happening, I strongly recommend using a scope with >150V max input rating at its BNC connector, + a BNC T connector on it and a NE-2 neon fitted to a BNC plug connected to the spare arm of the T to clamp the back EMF if your probe flashes over internally. Then use a x10 (or better a x100) probe on the other arm of the T. If the scope's a low voltage one e.g. +/-30V or USB connected, I really wouldn't care to probe the bell coil without a named brand HV probe with at least a 1000V rating.
Your best option is probably to design pessimistically from first principles: snub the coil with a diode + a series resistor equal to the DC coil resistance across the coil to limit the peak back-EMF to double the supply voltage without slowing down the magnetic flux decay significantly, and choose a driver transistor with a Vceo rating (Or Vdss if you use a MOSFET) of at least *THREE* times your max supply voltage, and a current and power rating such that it can carry the max coil current (calculated from the DC resistance and the max supply voltage) continuously at the max ambient temperature your ciruit is ever likely to be in.
As I've got an old Dynamco scope with valve inputs, that can withstand high voltage transients that would probably blow a modern scope and an old Morse practice buzzer I inherited, I took a photo of the waveform across the coil, with the buzzer running on 13.8V, and the contacts positive. The scope input attenuator + x10 probe were set for 50 V per vertical division, DC coupled with 0V fractionally over 1 div down from the top of the screen, and the timebase was set to approx 0.25 ms per horizontal division (uncalibrated). Its difficult to see them because of the poor contrast between most of the trace and the negative transient peaks, as I had to turn the brightness up to resolve them, but if you open the picture in a new tab, you can see the transients going off the bottom of the screen, so they must be peaking at over 250V. You can clearly see the contact bounce on make. Sorry, no damped sinusoid as promised - I couldn't get the timebase to trigger repeatably at a sweep speed fast enough to resolve them.
Buzzer coil resistance 4.4 ohms, inductance 10.4 mH with armature up, and 11.8 mH with it down, in firm contact with the pole piece.