For basic cleaning, the best way to clean the surface of the table is to use 1 part dish washing liquid (such as Dawn, etc.) to 1 part water. Do NOT use Windex or other harsh cleaning supplies on the surface, as this could damage or warp the linoleum.
For minor scuffs, use Linseed Oil (boiled or unboiled), which can be found at your local hardware store, or online. Apply the oil directly to the affected area and let sit for 5 minutes. Then, using a damp cloth, buff the area in a circular motion. Allow the area to dry completely before using. You may need to reapply and repeat this process a few times to fully remove blemishes.
For basic cleaning, dust with any regular dust cloth or clean with any wood cleaning spray. For cleaning spills or stains, use a damp cloth.