[Update]: Apex Legends' Season 2 update has now arrived, and so far it's pretty good!
As you're most likely well aware, trying to reach level 110 in Apex Legends' very first Battle Pass has not exactly been an easy task. Each level took well over an hour of gameplay, and with only two bonus experience events throughout the entire season, I honestly wouldn't be surprised if the vast majority of Battle Pass owners ended up finishing the season without the fancy Havoc skin.
Thankfully, history will not be repeating itself with Season 2 as Respawn has now detailed a variety of Daily and Weekly Challenges that will greatly speed up your progress. Best of all, there will be a large variety of challenges present from launch, so the entire server won't all be doing the same thing at the same time and essentially ruining the match in the process!
When it comes to Daily Challenges, these will be relatively simple tasks that can be completed in a short amount of time. Expect to see stuff like "Deal 200 damage in Bunker" or "Play 1 game as Lifeline", each of which will reward you a nice chunk of experience.
As for the Weekly Challenges, these will obviously be a bit more involved, though most of them will offer an entire level for your troubles. That said, they're not going to be too complex either, so don't worry about them getting in the way of your fun. They'll mostly be tasks like "Get 20 Kills as Gibraltar, Bangalore, or Mirage" or "Loot 100 Epic items."
In order to tie everything together, there will also be three 'meta' challenges each week. These will simply ask you to complete a certain amount of Daily Challenges, a certain amount of Weekly Challenges, and similar non-gameplay related tasks. While they will reset each week, whether you finished them or not, they will also reward an entire Battle Pass level which is definitely a welcome addition on top of the actual challenges!
You can read a little bit more about the Daily and Weekly Challenges over at Reddit. When it comes to Season 2 and all of its new features, however, you can learn more through the recently posted preview trailers.