How do I display the new page I just created?

Here's my code:

    public function store(Request $request)
    {
        //
		$page = $request->isMethod('put') ? Page::findOrFail($request->page_id) : new Page; //ternary IF statement determining whether or not this is a new Page or not
		
		$page->id = $request->input('page_id');
		$page->title=$request->input('title');
		$page->body=$request->input('body');
		
		if($page->save()) {
			//return new PageResource($page);
			return redirect('/display/page/{id}')->with('success', 'Page has been successfully created!');
		}
    }

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Two questions:

First Question (and this one is ancillary to what I'm really concerned about, but since I've got a ninja on the phone...)The IF statement that's checking to see whether or not we're editing or inserting a new page - if it is a new page, does Laravel know not to worry about the fact that there isn't an incoming ID? The code works, so we're obviously not generating any errors, but I wanted to clarify that. Does Laravel simply know not to be looking for an ID if there isn't one specified?

Second Question: I want to redirect my user to a page that displays either the new page or the page that they just inserted into the database. How do I pass that variable into the "display/page{id}" URL? How do I do it if it's coming in via the form? How do I do it if was just systemically generated as being a new row in the database?

Thank you!