You can usually find broccoli starts at a local nursery or garden supply store. Even Walmart sells flats of plants these days.
We usually plant lettuce from seed but sometimes purchasing some plants in a flat is a worthwhile investment, especially if you find you have missed the window for starting from seed.
Lettuce seeds can be very tiny and difficult to space properly, requiring a lot of thinning later. We like to purchase pelleted seed, where each tiny seed is covered in a coating of clay, making them much easier to space properly. You can purchase pelleted seed from Johnny’s Seeds.