You're going to need a heavy coverage foundation, a concealer, a contour powder, an eyeliner, and if you have oily skin, a powder.
In terms of face makeup, keep in mind that I have very oily skin so the products I recommend are for that. Even if we have the same skin type, the products I like may not work for you. Finding the right makeup for you is really trial and error. Also, if you want to save money, research the items you're interested in. Now onto the actual makeup!
My favorite full coverage foundation is Revlon Colorstay liquid foundation for oily/combination skin. This costs $10 USD but it's the one I use (btw any prices I mention are in USD because I'm American). I use it whenever I'm going out to a party or formal event and for conventions and it's perfect. It has great coverage and staying power. Another one I really like is L'oreal True Match liquid foundation for $8. I haven't used this in a while but I remember it having great staying power as well.
For concealer, at the drugstore, I like Sonia Kashuk's Hidden Agenda concealer pallet, which is $10 and only available at target. I also like L'Oreal True Match concealer for $8 and Revlon Photo Ready concealer for $9. But what you could do is go to the department store or anywhere that sells high end makeup. Go up to a counter and ask for samples of concealer. They'll match you to the proper shade and give you a small sample for free. I've been looking at MAC concealers and I did this. Don't have to spend money on concealer for a while. Make sure that whatever you end up getting matches your foundation.
For contour, I use a matte bronzer but in the past I've used a matte brown eyeshadow. Right now I'm using NYC Smooth Skin bronzer for $3. I've also used their Color wheel Mosaic Face Powder before for both the blush shade and the bronzer shade. This costs $5. Occasionally I double up my bronzer as an eyeshadow. It's great for a subtle contour in the crease of your eye. Don't go without this!! It'll bring dimension back into your face.
For eyeliner, I would go with a brown or dark brown color. Since you're new at makeup and you said you're quite pale, a black would probably look very harsh on you. I like a lot of eyeliner. Revlon colorstay pencil liners and Maybelline gel liners are some of my favorites, but can cost you a pretty penny. One of my favorite liners is the Rimmel Special Eyes eyeliner. I can't find it on Target's website (which is where I'm getting all the prices) but I think it's around $3.
If you have oily skin you're going to need a powder. If you want extra coverage, I'd go with a powder foundation. I really like L'Oreal True Match powder foundation. It's $8 but is by far the best powder foundation I've ever used. I use this every day for class and just hanging out. It's definitely pigmented and long wearing. I kind of tend to use just any face powder. A great one for cheap is by NYC Smooth Skin translucent powder. I can't remember the price off the top of my head but it's just a huge thing of loose translucent powder and has literally lasted me since November. Remember that if you use a powder, use it after your concealer and foundation.
Since the character you chose has blue hair, you can use an eyeshadow or an eyeliner. I'd probably go with an eyeliner so I don't have to buy a separate brush for that. You can look up tutorials for that but I've tested it out and if you conceal your eyebrows with a concealer or a white eyeliner, and go over that with the blue pencil, your brows will be colored enough. You can use any cheap old liner as well.
Now you are going to need tools. I'm going to link you to products on the Sephora website, just so you know what kind of thing I'm talking about.
For the foundation, I like a standard foundation brush
. It basically looks like a big filbert paint brush. Some people also like using cosmetic sponges but I've always used a brush. For concealer, I just use my fingers to be honest. For contour, I use an angled blush brush
or a flat top powder brush
. And for powder, I either use a flat top powder brush like before, or a big standard powder brush
You can go to Target for brushes. I've never tried the ELF brushes but the Sonia Kashuk ones are nice. You can also find cosmetic sponges there if you want to use those. Most of my brushes, however, come from TJ Maxx. Go in there once in a while and you'll find some good stuff. You can also look for brush sets.