Venus flytraps are not grown for their pretty white flowers. The inflorescences are therefore usually cut off immediately. Only if you want to harvest seeds for propagating the Venus flytrap should you leave some flowers.

Harvest seeds from fertilized flowers
In order for seeds to form in the flowers, they must be pollinated. In nature and usually also in the room, insects do this job.
If you are concerned that you may not have enough insects for pollination, simply fertilize the flowers yourself. To do this, you will need a brush to stroke the carpels in the flower.
As the flowers bloom, seed pods form in which many of the black seeds mature. They're ripe when they shake out easily.
tips
Since the Venus flytrap is a monotypic species of carnivorous plants, there are no subspecies. Therefore, identical offshoots can be easily grown from seeds.