This first picture is from the NPS website showing the locations of some of the geysers visible from the new webcam. These are the most well known of the geysers in the area. The picture below shows what Beehive Geyser looks like when it erupts. Beehive's Indicator is just to the right of Beehive and it often goes 10-20 minutes before an eruption. If you see that, or see a crowd starting to gather at Beehive, keep watching and you might get to see Beehive on the webcam. While Beehive isn't really predictable, it does seem to like the hours around midday and I'd be more inclined to watch for it between 10 and 2 than, say, early in the morning or just before sunset.
Of the other geysers marked in this photo, Lion is the only other one (besides Old Faithful of course) you're likely to see. Aurum and Plume erupt fairly often, but they're hard to see since they're right behind Old Faithful. Giantess only erupts a few times a year, so you can be pretty pleased if you see that. Lion's eruptions aren't easy to predict, but it usually erupts in a series with a larger eruption followed around 60-90 minutes later by usually one, but sometime more roaring sorts of eruptions. The length of time between the series varies quite a bit but is often around 10-12 hours.
This photo is a lot more detailed. Here's a list of what you're seeing here (with help from various geyser gazers):
A- Little Cub
C, D, E, F, and G are probably hot springs like Ear Spring, Heart Spring, and Goggles, and maybe a small geyser or two, like Pump or Sponge or Plate (especially F and G). You might get lucky and see something here, but it would be hard to tell what it is.
I- possibly Solitary
J or K is probably Depression
M- Beehive's Indicator
N- Old Faithful
O- Possibly Bronze Spring
P- A geyser down the basin; big steam clouds like this could be from Grand