Ok, so if we were to compare it to D&D...
A Fighter (The D&D equivalent of the Soldier) gets the following class skills automatically: Climb, Craft, Handle Animal, Intimidate, Jump, Ride, Swim.
The Fighter would also allow a player to choose an extra couple skills as Trained Skills. Assuming the Fighter/Soldier comparison holds, that means three skills. So I could add, say, Diplomacy, Knowledge (Nobility & Royalty), and Perform to that list.
Let's assume that same Fighter has Int 12. So that would give me yet another Trained Skill. So I could take, for example, Survival.
Last but not least, it's a Human Fighter, which grants another Trained Skill (This is something I've always thought humans should be able to do. Grant another class skill). In this case I'll go with Gather Information.
So to sum up, this Human Fighter would have the following as Trained Skills: Climb, Craft, Diplomacy, Gather Information, Handle Animal, Intimidate, Jump, Knowledge (Nobility & Royalty), Perform, Ride, Survival, and Swim. Is that the basic gist of how it works in Saga? If so, then that's fantastic! It's a great way to handle things.
Let's assume a Level 1 Human Fighter with 25 point buy with the following stats:
STR 15, DEX 10, CON 14, INT 12, WIS 8, CHA 13
His Trained Skills would have bonuses as follows:
Climb +8, Craft +7, Diplomacy +7, Gather Information +7, Handle Animal +7, Intimidate +7, Jump +8, Knowledge (Nobility & Royalty) +7, Perform +7, Ride +6, Survival +5, Swim +8.
What I especially love about the elimination of Skill Points is the ability to take what I call "Roleplay Skills" without penalizing the character. Perform, for instance, and Knowledge (Nobility & Royalty). Those skills are there for flavor more than anything else. To represent a character who isn't just "a fighter", but a knight. But to take them I'd have to sacrifice Skill Points which can be better spent in other skills which give you more tangible rewards. Thanks to this system, though, you can have both crunch and roleplay. It's very nice.