Add the seeds, garlic, salt, pepper, sugar, and lemon juice to a food processor fitted with the blade attachment. Blend on high until mostly smooth, and then add the olive oil in a slow drizzle while blending until combined. Continue to mix until as smooth as possible.
Serve mixed with pasta, on bread, pizza, or crackers, or mix into salad dressing. Store in a sealed container in the refrigerator for up to five days.
• My food processor isn't particularly strong, so my pesto isn't completely smooth. It's still good but a high powered processor will likely result in a smoother texture.