The way I learned it is probably a lot slower than most other people. Starting with PLL, I learned about 3 PLL's in a week. Of course, this was to make sure I had a good grasp on it. Though, by the last week, I got impatient, so I started to rush through the G-perms and the N-perms. After that, I learned the rest of the OLL algs I needed for 3-look LL, which was only a handful, in a couple of days.
So my suggestion to you is to learn PLL first, taking as much time as you are willing to spend on learning them. Learning them faster or slower than how I learned them is entirely up to you. After you have the PLLs, you can move onto the OLLs needed for 3-look LL.