24-bit monitor on 32-bit card

Short answer: Yes, it will work. Color depth is never an issue. Some monitors that claim 24 bit are actually only 18 bit anyway. Also there's no such thing as a 32-bit color monitor.

"The colour depth of an RGB image is usually 24-bit - 8 bits for each of the red, green and blue values. For example JPG images are 24 bit as they have no alpha.

The colour depth of an RGBA (or ARGB) image is usually 32-bit - 8 bits for each of the red, green, blue and transparency (or alpha) values. For example PNG images are often 32 bit as they have an alpha channel.

A pixel that has a colour with alpha needs to be blended with the colour of the pixel that's already on the screen, but the resultant image will only be 24 bit.

The colour quality on graphics cards (either 16 or 32 bit) refers to the number of colours (216 or 232) that can be displayed, not the bit depth of the image used to display those colours."