Recently on Google's search on mobile and within the Google app, search results are beginning to show recommendations based on search query's users have been making. These recommended results are surfacing under the very first results link and appear as a series of gray colored buttons, accompanied by a message that says "people also searched for," followed by the recommended results. This doesn't seem to be showing up for all users just yet, and it's not something which is showing up on the Google desktop website at this time either, although if Google is implementing it on mobile and in the Google app there is always a chance that the desktop web version of Search will see it at some point, once it's been tested by users on their smartphones and tablets. It's also worth noting that getting these to show up seems to rely on tapping on a search link first, the backing out to the search results list again.
Since this isn't popping up for all users, it isn't immediately clear if Google is just testing this feature right now. It's also possible that Google is rolling this out to all users and is just doing so in batches, which is how they usually roll out updates and new features. Having said that, if that happens to be the case then sometime between now and the rest of the weekend users may end up finding these new recommended searches showing up in their own list.
If this is a feature that's simply being tested, Google may not end up pushing it to everybody which is a scenario that is quite possible, as not all their tested features make it to prime time. Having said that, it would likely be a lot more convenient for users to have these new recommended search results buttons instead of the current recommended links which tend to be at the very bottom of the list. When and if Google decides to keep this function and make it more widely available is anyone's guess, so for now, those of you who don't have these recommendations showing up will have to continue using the current links that are available.