If you type this search into google you get thousands of hits. "online typing simulators"
The one above was at the top of the list it starts with a one minute test.
Be careful not to stray into the gaming zone unless you want to.
You can become faster and faster just by constant practice. Be determined not to look down at the keyboard for the first few weeks.
You can use the links to practice; being careful not to sign up for anything until after doing research as to the quality of training and it's recognition.