During a pre driving vehicle inspection you should check and inspect things on the vehicle such as headlights, windshield, side and rear windows, turn signals, brake lights and taillights.
Other things you should check periodically are the brake fluid level, coolant, serpentine belt, inspect the battery, check the transmission fluid, power steering fluid and check the tires as well.
Every few thousand miles or so check the lug nuts on the vehicle as well as sometimes they may decide to work loose.
Although it's rare lug nuts come loose it is possible in rare cases so it's better to check to make sure all the lug nuts are snug so that your vehicles wheels do not come off.
I always check my coolant level and engine oil every week to be sure my engine has enough coolant and oil in it.
I also check the transmission fluid every week as well before getting into my vehicle.