You've built your no dig garden. There it is, your work of art like a new blank page waiting for you to create your edible masterpiece.
No dig gardens are more successful if you plant seedlings rather than seeds. The seeds can get lost in the mix and the top mulch can blow over them. You are less certain about where everything will come up. With seedlings, you have a better idea of where things are.
Also with the rich organic materials in this sort of garden you can plant more intensively than you would with a normal garden.
What will do well? Beans, peas, capsicum, eggplant, tomato, lettuce, sweet corn, broccoli, spinach, cabbage, cauliflower, Brussels sprouts and vine crops like melons and pumpkins. Have a browse at this List of Vegetables to Grow.
Carrots and other root crops should not be tried until the bed is more mature with decent friable soil, otherwise you will get knobbly, uneven produce.
If you've only got a shallow layer of compost or soil on top, poke medium-sized holes through the top layers and put a handful of soil/compost in each hole and plant your seedlings there.
Once your seedlings are in place, cover exposed areas with another layer of mulch such as straw, grass clippings or leaves. To discourage stem rot, try to keep the stems of your young plants clear of the mulch, or at least don't pack the mulch hard around the stems.
Of course you can start off with seeds, particularly biggies like beans, squash and similar, but especially with preparing soil for a vegetable garden in the first year, the layers are bulky and not merged, so best to wait a good few months.
To sow seeds after building your wonderful creation, push away the mulch, make a shallow trench and add a layer of good soil, sprinkle seeds, then cover with fine soil. Keep the mulch away from seeds and only bring it closer once the seedlings are strong little plants.
There's no rest for the wicked; time to find out....
What to do with your No Dig Garden the next season