Heat a grill pan or outdoor grill to medium heat. To roast the corn, rub the shucked ears of corn with 1/2 teaspoon olive oil, reserving the remaining oil to dress the salad. Place the corn on the grill and cook, turning often, until the corn is slightly charred and still crisp, 8 to 10 minute. Remove from the heat and cool briefly.
Cut the kernels off the cob and place in a large bowl. (Two cobs of corn should yield 1 1/2 to 2 cups of kernels.) Add the cucumber, tomatoes, red onion, remaining 1 tablespoon olive oil, red wine vinegar, smoked paprika and salt and pepper, to taste. Toss to combine.