Bejeweled 2 has two game modes, classic where you can remove gems without time pressure and action where besides the difficulty of a level is also added a time limit. Match three or more gems to remove them. Four gems removed will create a power gem and 5 gems removed will create a hypercube.
If you want to play for fun, choose classic mode, but if you want to test your skills on bejeweled games, play action mode. In the bottom left of the screen you will find a hint button, use it when you are not able to find the next move, but take into account that the time limit will drop significantly. Start to eliminate gems and win some points!