To get the dates of Monday and Friday, you can do it like so by adapting the logic given by Howard Hinnant's answer here:
auto todayDate = date::floor<date::days>(std::chrono::system_clock::now());
std::cout << date::format("%F", todayDate) << "\n";
auto mondayDate = todayDate - (date::weekday{ todayDate } - date::Monday);
std::cout << date::format("%F", mondayDate) << "\n";
auto fridayDate = mondayDate + (mondayDate - date::Thursday);
std::cout << date::format("%F", fridayDate) << "\n";
If you need the Unix timestamp version:
auto mondayTimestamp = mondayDate.time_since_epoch();
auto mondayDateSeconds = std::chrono::duration_cast<std::chrono::seconds>(mondayTimestamp).count();
auto fridayTimestamp = fridayDate.time_since_epoch();
auto fridaySeconds = std::chrono::duration_cast<std::chrono::seconds>(fridayTimestamp).count();
This should also work for the new C++20 <chrono> library as essentially it's Howard's library underneath