You can do web browsing on the Wave, but it isn't designed for it. Browsers can be crashy, especially if they haven't run recently. But if you need to browse minimally, it can be done.

I was surprised by how much pressure is needed to write with the default pen that comes with the Mobiscribe WAVE. It's just a standard Wacom EMR device, so I tried a few S-Pens, and it's a noticeable difference. Much easier to write and to make darker marks with less pressure. The stylus you use matters!