There are a few ways to add members to your group:
Click the Share button and choose any of the options from sharing to your timeline, friend's timeline, page, group, event, or in a private message (the most personable option to draw in your guests).
Click the More... button and click add member. You can also add a personal note here that will be visible to your guest (a great option to show this is not a spam group π) .
What if you don't see the Add Member option?
On the left side under the name of your group, you want to change from "Interacting as your page" to "Interacting as yourself". Then the Add Member option will be there under More...