Tomatoes, broccoli, bush beans, cucumbers, peppers are all easy vegetables to grow.
Broccoli likes cool weather so early planting works well - you have to cut it before it flowers which will happen if the weather is too warm.
Beans and cucumber seeds need the ground to be warm to germinate. I grow my cukes on a piece of fence so they grow upward instead of sprawling all over.
Tomatoes need to be staked.
Each year you need to rotate the garden plot so veggies are in another spot.
Use black plastic to keep down weeds and keep moisture in the ground. I cut coffee can size holes when planting the veggies. Good luck. You will love it.