First off you lighting looks like it will work. The 10,000K bulb is a bit hot but it won't hurt anything.
Second graval substrate + rooted plants do not always do well. If you like the look of gravel but want plant you can put a layer of sand below the gravel. The gravel will "float" on top of the sand. The smaller particles of sand trigger the plant roots to form lateral roots and root hairs. This greatly increases the efficiency of nutrient uptake and therefore plant growth rate. It also helps to keep the plants from floating around the tank.
Second you will need to pick up some fertilizer. Buying dry ferts online is the only way to go (type "aquarium fertilizer" into google). They are around 10 times cheaper which makes dosing the tank less painful to the pocketbook. The downside is that generally sites that sell dry ferts sell them by the chemical makeup. Pretty difficult for a beginner to figure out what they need at first. Often they will sell a premade mix of some sort (PMDD etc.). Start with the premade mix and then if any nutrient deficiencies occur later you can tinker with the other chemical formulations.
You can start adding plants immediately. With the lighting that you have you can grow about anything. As for choosing what plants you want to grow that is up to you and your research. Spend time looking around at pictures online. When you do go shopping be very cautious. About 1/2 of the plants sold as aquatic in many petstores need to go in a pot of soil on the windowsill. The easiest way to prevent this is to take a picture of the plant you want and then post it here for identification BEFORE you buy. Buying online can be a little more expensive because of shipping costs but they are generally more honest about the habitat of the plant.
Oh and you will get an algae outbreak. Probably several in fact. There is really no way to avoid this when you are learning what you are doing (even when you know what you are doing it still happens). So don't feel bad when your tank looks like trash.