The classic method of drinking tequila is as a shot, with a little salt and a slice of lime (lick the salt off the back of your hand, drink the shot, then suck on a lime). It is also the main ingredient in mixed drinks such as the marguerita, the tequila sunrise, and the veracruz cocktail.
For example, to make a margarita, wet the rim of the glass you'll be serving the margarita in with lime juice and coat with salt. Mix two parts tequila, one part lime jiuce, and a smidgen of triple sec together, or blend with ice. Serve in the salt-coated glasses, plain if blended or over cracked ice if stirred.