I recently purchased this generator and was wondering what the type of oil weight would be recommended as the bottle that came with did not say?

Per your product's owner's manual, the unit comes with a quart of SAE 30 oil included. After the unit's initial break-in period (30 hours of operation), you can switch to an SAE 5W-30 weight oil. After this break-in period, change the oil every 100 hours of operation.