Since it offers "NAT and IP sharing for up to 32 users" it's what you see today called a router.
"Technically" routers route and NATs NAT. There are some that might want to dive into every nuance but frankly this will be ok for sharing a connection.
I'm a novice at this, so please forgive me these questions...
I have a cable high-speed internet provider. Is there a difference between a gateway and a router? Also, is the D-Link DI-704 Internet Gateway still relevant? It received a high rating by C-Net in 2001 but I'm sure in view of all the technological advances that have taken place since that time, it may be outdated.