that's 3 cushion billiards where you score with a cannon and the cueball has to hit 3 cushions before the cannon.
Standard billiards is two whites - one yours, one your opponents and a red which spots on the black spot. You get 2 for a cannon, 2 for in-off your opponents ball, 3 for in-off the red, 2 for potting your opponents ball (ball stays down), 3 for potting the red. Red comes back on black spot, if potted 3 times in a row without another score (i.e. no cannons just straight pots) it is spotted on the blue spot for one turn, then back to black. So basically if you keep potting the red you'd have to go in cycles every 12 points.
The tactics are like I said, to get your opponents ball in play around the red spot area, and play little touch cannons by keeping the balls close together, then pot the red and land position so you can get a cannon and push the red towards the pocket setting up another cannon etc. If you can keep the balls close, you can rack up the points in no time.
If you pot your ball via in-off, you get it in hand and in the D. You're not allowed to strike down the table, which is where the localised pool rules comes from. So if you've ball in hand and the other balls are behind the baulk line, you've got to go down and up the table, or play side cushion with bags of side on the cueball.
Standard shots are in off the red on black spot from D area and in-offs from D to middle pocket hopefully sending the ball you go in off down the table and back up to near the middle of table to give you the same shot.
Going in-off the red on black spot into corner pocket is the shot you must be able to play from pretty much anywhere on the table to get to any decent standard. The more you play it, the more you learn it.
Billiards for beginners.
I would say if you want to get any enjoyment out of billiards you need a good receptive cloth, friendly pockets and heavy balls (i.e. a proper billiards set, not snooker balls)