Sony do not have any plans to introduce a web browser app for their upcoming next-gen console PlayStation 5 at the moment. The company have doubts about whether a web browser is necessary for a game console.
One of the features that is currently available on PlayStation 4 won't be coming to PlayStation 5, at least not in the near future according to Sony. We're talking about a web browser app, which can be a useful feature and it certainly does not hurt to have it as an option on the console.
However, Sony say they do not plan to include a web browser app in PlayStation 5 for one reason. They doubt it's necessary for a gaming console to have one, which is a pretty odd suggestion, to say the least. Here's the quote from Sony's Hideaki Nishino regarding the web browser in PS5:
"Currently, we do not intend to include a web browser in PS5," Nishino said. "We have doubts about whether a web browser is necessary for a game console as an app, so we'll have to wait and see."
Right there at the end of the sentence, Nishino confirmed that a web browser app could be added to PlayStation 5 in future updates but at the moment, it seems there is no interest from Sony for such a feature, which is a darn shame.
Yes, there's a lot of people who never used a web app on PlayStation 4 and based on that data, Sony probably decided it's better to spend the valuable development time on other features. However, some players certainly would not mind to have it on their next-gen console.