Just keep clicking “Explore Onward” and eventually you’ll stumble upon items or eggs. You have to click carefully to ensure you don’t miss them; items and eggs will generally be illuminated by a faint glow, and they can pop up anywhere within the scene :) It may take a bit of time to find them, but you should find stuff eventually if you keep clicking!
Also, be sure you’re not hitting F5 or refreshing in your browser (which it doesn’t sound like you’re doing, but I’ve made that mistake before). You have to click the button.