Turn up your thermostat so the furnace has to come on and blow hot air. Wait a moment to hear if the blower turns on. Check your vents once the hot air comes on. If hot air is coming out, your blower is likely working fine.
Shut off the power to the furnace if air doesn't blow from the vents. Flip off the breaker controlling the furnace to prevent accidental electrocution.
Open the furnace's access panel on the front. Removal varies from unit to unit.
Locate the blower fan. Take hold of one of the blades and try to turn it. If it doesn't spin, add a few drops of oil into the oil points. Try to spin it again. If it spins, close up the furnace. If it doesn't spin, you likely need to replace the fan.
Check parts around the blower for signs of wear and dirtiness. Clean or replace all filters around the fan and look for belts around the motor for signs of wear. Replace any belts that appear damaged. Use a vacuum to clean around the blower, as dust and grit can damage your furnace's parts.