If your backup schedule is set as a weekly process with its next startup time bing the weekend, then the answer is yes.
If you want to test it before next weekend, then create a new backup schedule, including the 'Wake the computer to run this task' setting, to commence at what ever time is convenient to you and just before it is due to start, put you computer to sleep and wait to check if it wakes and performs the backup!
Don't forget to redo your weekend schedule if that is your preferred option.