This contains some information on the culinary/medicinal value and usage of dead nettle:
Grow Network Article: Henbit and Dead Nettle
Of the two main edible weeds that pop up every Spring on my property - purple dead nettle and goose grass (AKA cleavers) - I find the goose grass much more palatable. When the goose grass is young, I chop it and make fritters with it or else blend it into fruit smoothies. Once goose grass is bigger and older and going to seed, I dry it and powder it. I've read that it is richer in silica as it ages, which is a rare but important mineral for bone and tooth health.
Both weeds have a flavor I would best describe as "inoffensive." That is to say they don't taste bad, but they don't taste like anything particularly great either, just neutral or perhaps "grassy."
Dead nettle might be okay if you harvest it very young, but it quickly gains little spikey seed balls that I find unpleasant in my food. Thus, I only ever dry dead nettle and add it to herbal tea mixes, typically with mint and lemon balm that have naturalized in my food forest. I've never tried brewing pure dead nettle tea, but I imagine it would be fairly devoid of taste.