If you're really pale, all you'll get is a nice burn.
You should put sunscreen on, it doesn't stop you from tanning, it stops you from burning.
If you're really serious about getting a real tan, there are some oils, and sunscreens that help you tan better, AND keep you from burning. But watch out, these days, it can be pretty expensive.
I think you should stick to sunscreen, and just lie in the sun all day!