Remove greens from the cauliflower head. Chop the washed cauliflower into 4 quarters by making cuts lengthwise, down through the core. Then, angle your knife to remove the core from each quarter. With your hands, separate the florets. Wash the florets and pat dry with a paper towel.
Place 1 tablespoon of olive oil in a grill pan over medium heat. Add the cauliflower florets. Brush the florets with additional olive oil. Heat for 20 to 30 minutes, turning occasionally, until golden brown and slightly tender.
Remove from the grill pan and place in a food processor with the shredding blade attachment. Shred the cauliflower on low until all pieces have been added.
Remove the shredded cauliflower rice from the food processor and place in a medium bowl. Add the chopped cilantro, lime juice, and salt.
Serve immediately as a side, or top with your favorite meats and veggies.