Choose DAC for audio
The DAC you have chosen will work fine.  Remember that to provide output samples your SPI clock and data signals will have to run at 16 times the update rate because you have to shift the data out serially, so choose your clock speed to allow this plus some overhead to handle your interrupt service routine.  Keep the ISR small.

The output pin on the DAC has an output resistance of 6.25K, so you will need a buffer or amplifier depending on the type of speaker you will be using.