I know in order for this to be useful we would also have to tether over Bluetooth, but that shouldn't be a problem for most phones. I also know that the only Tizen keyboard optimized for the Gear 2/Neo is the Fleksy keyboard which is in beta and hasn't been released yet, so the only option is to use the default Tizen keyboard until then, which I am not sure is already installed on the watch.
Since a web browser would be a headache to get working, maybe we could try and get another Tizen app working, like svoice (the Tizen one, not the Galaxy Gear one since that one requires phone connectivity, iirc) or something more basic.
I really don't know how feasable this would be yet, or if it would even be worth it since the rumored Gear 2 Solo sounds like something way better to focus this kind of stuff on.
Anyway I thought something like this on the Gear 2 would be cool since the Gear 1 can already do all this stuff, and this would really show off how powerful Tizen is and all the potential it has for stuff like this.