weekly_orgasm is a community oriented toward female orgasm denial. This is a means for women who wish to experiment with orgasm denial, and for those who do not have anyone to currently provide them with the denial, to gain this experience in a safe, non-threatening manner. By no means is this community intended to provide super-long-term periods of denial; instead, the longest period between permitted orgasms will be seven days, but the length of time between orgasms will vary.
Will there be a "punishment" if a woman fails to complete the assigned command/task? From the moderator, no. From herself, perhaps a nagging sense of guilt. From her Master and/or Mistress, if applicable, maybe.
Those who already serve a Dominant may find that some of these commands run counter to any rules of their slavery or submission. For example, a slave may have a requirement that she may not orgasm without permission from the Dominant, while the command for a given day includes an orgasm. It is therefore strongly suggested that those who serve a Dominant obtain permission first before attempting to complete a command given in this community.
For more information on (female) orgasm denial, please check the Wikipedia entry and also the many posts and links at Tantalism.org.