Continuous light: do LEDs flicker like fluorescent lights?
LEDs will emit steady light if given steady current.  The question then becomes what kind of current waveform LEDs are driven with in a light assembly.

The exact answer depends on the circuit in the light.  LEDs run on just a few volts.  The much high line voltage has to be converted to the lower LED voltage somehow.  Most likely, this will include the cheapest, dumbest, and most stripped down switching power supply possible.

I see other answers mention a transformer, but I think that is quite unlikely.  There is no need for isolation in a sealed unit with no external connections other than the power line.  Even if there is a transformer, it's not going to be fed directly from the line frequency.  The extra savings in cost and size of a transformer that works at 10s to 100s of kHz far outweighs the cost of the components to produce that frequency.

Most likely, there is a full wave bridge to rectify the AC line voltage directly.  That will then be chopped thru a inductor to drive the LEDs.  Depending on how cheap the lamp is, it might chop at a fixed duty cycle, which would make the LED brightness vary with power voltage.  Even a little current feedback would keep the LED current reasonably constant over most of the line cycle, perhaps dipping only briefly at the power line zero crossings.  A small cap would reduce that, but caps cost money and take space, so may not be included.

LED lamps are made in large volumes, so serious manufacturers probably develop custom ICs just for this purpose.  In such a case I'd expect at least some attempt at regulation, so the LED brightness will be largely constant, perhaps with short dips at the power line zero crossings.

However, all this is speculation.  Why not just look?  Put the lamp at the end of a extension cord and swing it around in a otherwise darkened room.  Whether it flickers or not will be immediately obvious.