Well, I have this program SolidWorks and I've made some stuff on it like a spaceship, ect. Is it possible to import/export it so you can use models with OGRE? It's more of an engineering program, so I'm not really sure but it's the only 3D program I know.

What all formats can Solidworks save/export to? Note that if it can export any of the formats that Blender can import, then you can always export out from Solidworks, import into Blender, and then export out to Ogre mesh.

What export type would I need?

Uhmm .... compare your export options in Solidworks with the import options in Blender. Those that match are your possibilities.