First of all, welcome! This is likely the beginnings of what will become an addictive hobby for you! (just speaking from personal experience here).
I started with a ten gallon aquarium as well, so I'll share with you what I found works well and what doesn't work well.
For beginners, lets talk about lighting. There are many detailed postings out there about what kind of light, spectrum, and how lighting works in a general sense. If you wish to understand it on a more intimate basis, I say read up on your literature. But for brevity, I will make you a recommendation based on what you're wishing to grow.
Saving yourself money and hassle, go and purchase one of those standard black ten gallon hoods with the two screw in light sockets. Then, go to walmart and pick out "daylight" compact fluorescent bulbs (you know, the twisty looking ones). If you're able to, look on the back of the bulb packaging and see if on it anywhere it states 5500K or 6700K. This is the bulb spectrum. 6700K or 10000K is optimum for plant growth and is a nice white light. But most bulb manufacturers will only sell 6700K for some reason. That will be likely what you're able to find. Then, as far as what wattage, two 18w bulbs, at your tank depth, will be high lighting. You will be able to grow any high light plant but it will come at a cost (will discuss momentarily). I would recommend two 15w bulbs or something close to that number for moderate to moderate-high lighting.
If you choose high lighting, you will need to diffuse c02 in your aquarium. If not, you will find your tank to be full of algae. DIY c02 isn't that bad and lasts around 3 weeks. Just search for instructions on this forum or the web for more details. I'd say if budget isn't an issue, just go ahead and get a pressurized system. Pressurized will last a year or more for a small tank like that. It also makes growing HC much easier.
For fertilizers, there are many methods and products to use. In time, you will have to somewhat experiment and find what method you like best. I started with the Seachem line of products. There is nothing wrong with their product, but over time, the amount of money you will spend on their fertilizers adds up quickly. Do some research on the EI (Estimative Index) method created by Tom Barr. It's a cheap, easy way to dose all the required elements that plants need for growth and will save you loads of cash over the long run. In a nutshell, you buy the compounds, mix them at the desired concentration, and dose the same nutrients found in commercial products at pennies on the dollar.
Your other option is to not dose fertilizer at all and look into using something like a mineralized topsoil substrate. This provides all the nutrients plants need for years and beats both price-wise and effectiveness-wise almost all commercial products sold for substrates. After several years at this hobby, I will never go back to using fertilizers and will always use a mineralized topsoil substrate. The results are just superior to anything I've ever seen.
Hope this helps, and enjoy!