I’m pretty sure it has the ability to browse the web.

It can use playwright, web fetch, etc…

I use bedrock at work and Claude subscription at home. They are pretty much exactly the same in my experience

Or do you mean the Claude in chrome plugin? Bedrock doesn’t have that, but in my experience it doesn’t work that well.

Neither does the Claude managed agents or ultra plan.

They likely refer to "WebSearch", not "WebFetch" (and the original statement is not correct).