Why would anyone browse the Internet on a watch......your smartphone has to be right near you no matter what.....
Why? Far too small a screen...
Uh, I have the 3g version, so no my phone doesn't have to be near me.
And yeah, it would be useful to say log into public wifi Hotspots or to look something up really quick. Previous versions of the gear had Web browsers, as does android wear. Supposedly there is one available called tiny Web for the gear s2, but it must not be available in the US since it's not showing up in the app store for me.
Also, I found a way to get sync podcasts to the watch, though it isn't the best it's the only viable solution I have found.
Anyway, what I have done is moved my podcast folder to my music folder, this way it shows up in the Samsung music app. This folder is managed by my podcast app (Pocket Cast).
So then I went into my Samsung music app and created a new Playlist called "podcasts" and then went to folder view, went to my podcasts folder and then added all tracks to the Playlist.
Then I went to the gear app and selected the "send to gear" setting, then enabled auto sync, and selected my podcasts Playlist as one to sync.
Now all my podcasts are synced over to my watch, and they sound great, i really like being able to go for a walk and listen to my podcasts without having to take my phone.
A few caveats, even though pocketcasts is managing my podcasts folder, the Playlist doesn't update automatically, so before bed I have to go to my music app and select the new podcasts to download. The other is play count doesn't sync back, so if I listen to a podcast, I then have to go into pocketcasts and mark it as played so that it will delete from the phone.
Other than those few things, this is the best implementation of getting podcasts onto a watch I have used. To do it on my apple watch, I would have to sync with iTunes on my mac and convert the podcast to music and then load over and the delete them when done and stuff. Same thing on android wear.