Mouser has a pretty good selection of LCD displays, you should be able to find one easily enough there.
Usually an off-the-shelf mono display will have a driver IC included, which contains the frame buffer and generates the waveforms which physically drive the panel. The host device - usually a microcontroller rather than an FPGA - talks to the LCD controller over SPI, I2C or a parallel port. Only changes to the displayed image need to be sent over the interface.
If you were using a TFT colour panel - something which might be expected to display video - then they're typically driven much more directly, ie. you have to clock data in continuously, a pixel at a time. This is the type of display which is more often driven with an FPGA.