All grain will definitely get you a lot more sediment than will extract brewing, so it's normal to see these types of results. I'd bet it's not half-full of sediment, more like an inverted cone shape. It will naturally settle over time, as has been said.
You can use a clarifying agent to help settle out the trub sooner. I find it to be more desirable in all-grain since there's so much more particulate left in the beer, as compared to extract brewing. Congrats on your first all grain!