Welcome to Fiverr. Fiverr works in two ways. One way is that you develop your gigs. The gigs will remain in fiverr. Any seller who will find your service attractive, bid on that. Or may ask you more regarding your service and pricing.
The other way is for you to look for ‘buyer requests’. And, you bid on the requests matching your skills and price. You can upload a gig in the time of submitting ‘buyer request’.
No, Fiverr does not allow for payment directly to you. If you get an order, fiverr will collect the money from buyer in advance. Upon successful completion of the task, you will receive the money from fiverr.