Yea its normal to see inside there, you should have a thin metal guard to cover the flywheel, you might have that and a gap or it could be missing, either way you are just seeing your bell housing and clutch assembly in there which is nothing to worry about.
As for the oil, probably an oil seel, either the input shaft is leaking or just a driveshaft seal! Its not ideal to be leaking like that and you should keep a close eye on it, check the levels! if you are absolutly certain its the gearbox and not the engine and it gets quite bad it will be time for new oil seels, or even a recon box depending on the design of the box.
Hope that helps.
