Go to Riverwood, talk to Faendal or Sven. Give the letter in Faendal′s favor and he′ll join you.
Ask Faendal to train your archery, then trade with him and take your gold back. Repeat until he asks more gold than you have or have reached 5/5 of that level skill trains. When you level up, you can do 5 times again.

Sleep at the Inn to get the rested bonus, or use Faendal′s house to sleep for free. You can trade his key off him for free by trading.
Can′t remember if you get rested or well rested bonus, but it′s 5-10% all skills increase faster.
If you activated one of the three guardian stones along the way, it gives 20% all skills increase faster for whatever of direction you picked.

So, after the sleeping equip healing on your both hands and go jump up and down on the blacksmith's forge. This will increase your destruction skill as you burn and take damage. Casting healing to recover HP increases your restoration skill.

If you have high hp / hp recovery, you can rise restoration by drowning the character under water. After a while it stats taking damage and before you′re about do die, get out of water and heal yourself. svcks to be Argonian here, I guess.