An inline voltmeter is also a handy tool if your power supply is a bit dodgy - it's common to use kill-a-watt meters with electric coffee roasters, because the supply voltage can drop (particularly in the summer in the early evening) when the neighborhood all turn on their AC and electric stoves at the same time) and throw off all the timings for roasting. For brewing, it's less critical, but it would help explain why water is taking a long time to heat etc.
An ammeter is good for monitoring the actual power draw of your elements, e.g. if you have a pot controlling it via an SSR.
Do you need to do these things? No. But you might like to.