JR Nara Station and Kintetsu Nara Station are about a 15-minute walk apart, and connecting the two stations is Sanjo-dori Street. It's a shopping arcade with various shops.
Along that street, you'll find a small park called Asahi-sui Park, which has stone benches.
It's outdoors, but it does have a roof, so it seems you can avoid the rain. However, the restroom is right in front of it, so it might not be the most pleasant place to take a break.

JR Nara Station and Kintetsu Nara Station are about a 15-minute walk apart, and connecting the two stations is Sanjo-dori Street. It's a shopping arcade with various shops.
Along that street, you'll find a small park called Asahi-sui Park, which has stone benches.
It's outdoors, but it does have a roof, so it seems you can avoid the rain. However, the restroom is right in front of it, so it might not be the most pleasant place to take a break.