I think you are:
A star
Give me a dollar, You start to drink
Not sure about this line but after the hint in the comments, Google search for dollar drinks Canada gives results for $1 any size drinks at McDonald's, specifically mentioning Canada. Link to my "star" theory: Canadian flag features a maple leaf, which has the shape of a star. EDIT: Starbucks! Alex revealed it in the comments, I missed this clue.
play the music, children start to sing
Popular Children's song "Twinkle, Twinkle, Little Star". Every kid will start singing it when they hear the music.
look at me, without a blink
like the diamond on my wedding ring
"Up above the world so high, like a diamond in the sky"
Larger than a boulder, smaller than a pingpong
MUCH larger than a boulder, but to us it looks smaller than a pingpong.
the force with this one is very strong
The gravitational pull or "force" of the star. (EDIT: And a reference to star wars, which I thought was just part of the clue, not part of the answer)
you might wonder if you are wrong
"how I wonder what you are"
did I mention the alphabet song?
The "alphabet song" has the same tune as "twinkle twinkle little star".