It may be quite a while before we see it, but we can probably expect Facebook Home to get Graph Search built in sometime in the future.
First, if you haven't read about Facebook Home yet, go do that.
Graph Search has not even been launched on mobile devices yet, and it remains to be seen how long that will take. You can rest assured, however, that it will come. Facebook said as much when that was introduced. Danny Sullivan at Search Engine Land quotes Zuckerberg today:
“When that’s available, hopefully we’ll be able to make that available here [in Home]. But even Graph Search, Graph Search is not web search. People still need Google or Bing of whatever they use for web search.”
Is Zuckerberg perhaps being cagey, holding back on a secret-uber plan to eventually have Graph Search take over on these devices. Perhaps. And I do think Graph Search is going to come. But really, the impression I got was that search has largely been overlooked with the launch of Home.
In his article, which points out that Facebook Home makes it harder to search, Sullivan also shares a Vine showing that Facebook Home does not prevent the easy use of Google Now.
Graph Search is not the only potential feature for Facebook Home that Zuckerberg hinted at today. He also said ads will come at some point.