When you buy Halo: Combat Evolved Anniversary, you get two components: the original campaign remastered, along with 6 multiplayer maps and 1 Firefight map using the Halo: Reach engine.
If don't own Halo: Reach, you can only play the maps included with Anniversary. There is a Multiplayer option on the title screen of Anniversary that boots up a minimal version of Halo: Reach - namely, only multiplayer with only Anniversary playlists available.
If you bought a new copy of Anniversary, it should have included a code that allows you to download the Anniversary Map Pack for Halo: Reach. Once you have done this, these maps work like any other map pack for Halo: Reach - they are available to play (whether in a custom game or in matchmaking) when you run Halo: Reach.
If you didn't buy Anniversary new (or only want the maps, and not the remastered campaign), the Anniversary Map Pack can be downloaded for 1200MS points.