No, rice will not increase your cholesterol.

Boiled rice is healthy, but, the dose makes the poison and it is applicable to rice also.

But excess sugar from rice in the blood is converted into triglycerides in the liver which is also a risk factor for heart diseases.

It is not the genes which raise the fats but excess carbohydrates or sugars.

Reduce the amount of carbohydrates in your food and eat lot of vegetables and fruits to be always healthy.