Figured wood is wood with grain that is not straight, that has been cut along the grain to reveal pretty patterns. Think of walnut furniture (or just look at the photograph of the Takemine guitar).
Figured wood is often used as a veneer (for woodwork in general, not just musical instruments) because it makes less wood go further; using cheaper less visually attractive wood for interior structure. However figured wood is not necessarily veneer - solid walnut furniture is made; solid soundboards are made with figured wood.
A veneer would interfere with the vibration of a soundboard, and hence it would be dishonest to describe a veneered soundboard as being solid wood.
Whether a layer of solid wood with a veneer could be described as "laminate" is not really well defined. Strictly speaking it would be a laminate of two layers. But a typical laminate material for guitars has more than two layers.
All of this is important knowledge if you're building a guitar. When you're buying a guitar it's interesting, but academic.
You don't buy a guitar for the satisfaction of knowing what wood it's made of. You buy a guitar to play music with. So make your buying decision based on what it sounds like and how it feels to play (OK, most of us also care what it looks like). You could find a laminate guitar that plays beautifully. You could find a guitar made from the finest hardwood, that you just don't like the feel or sound of.
Regardless of whether the Takamine is veneered, they are a reputable company who make good quality guitars for the price -- but you'll only find out for sure by trying it out.
Unless you're willing to risk paying for a dud, never buy a guitar on specs alone. Try it in a shop before buying.