A dry sponge from a pet-supply store is all you need to easily remove pet hair from furniture.
Pet hair on furniture, especially on upholstery, is a big pet peeve of many pet owners. Here's a Good Thing from Martha's "Homekeeping Handbook" to remove pet hair.
Purchase a dry sponge at a pet-supply store. (They cost under $10.) Using the dry sponge, lightly wipe dog hair in a sweeping motion from upholstery. When using, make sure the sponge is dry. When you clean the sponge after use, wash with soap and water, and let it dry.
You can also use a damp rag to pick up the hair. Make sure to ring out water from rag before using to prevent the upholstery from getting wet.