Welcome to the forums and congratulations on your new baby budgie!
You have certainly come to the right place as you will find all you need to know on budgie care here.
Since it's been 20 years and there have been advances in terms of general care for pet birds, you may take some of your spare time in reading the articles and sticky threads located at the top part of each section of the forums.
Your new budgie is absolutely precious!
If you post a frontal shot of the beak/cere, we can confirm the gender.
From that photo it seems the cere has a purplish colour and if that is the case, then your budgie is a boy.
As preventative measure, it would be good to cut the loose fringes on the rope toy. Budgies can get their feet caught in them and if they happen to chew the loose ends there is the possibility of ingesting the fibres which would lead to digestive problems.