I noticed the AI voice accented the "i." Is this correct, or should it just be pronounced "Ree-set?"
You just read it as you see it, cause "rice" is "ris" and the -et is for the "the" so its "riset". Or reset if you like ;).
It could be that Danish uses common gender for the rice sense and neuter for the brushwood sense, while Swedish merged the two some time ago. This is just a guess, though.
Swedish words have different grammatical genders. Some are en-words, some are ett-words.
There's no rule I suggest you learn the word with the en/ett (Ex. 1: en banan = a banana) (Ex. 2: ett äpple = an apple)