What type of wounds a laser weapon would leave will depend on the precise frequency, power level, and beam form (in particular, duty cycle). The exact same total absorbed power (combination of frequency and absolute power) will do very different things depending on how it is delivered.
Near-IR is probably ideal for near-future anti-personnel weapons. It's what actual military lasers use. It's a relatively easy range of wavelengths to produce. The air is transparent to it, but water (and thus exposed flesh) absorbs it strongly.
A low power laser will cause burns, but it will take a lot to make it lethal. You are unlikely to see more than second-degree burns over a small area, because unlike dead animals used for testing, actual enemy combatants are unlikely to stand still while you hold a beam on a single spot.
A higher power continuous laser will cause severe burns immediately, possibly flash-boiling moisture on and near the surface of the skin, and you can do a lot of painful damage by sweeping the beam across the enemy. In fact, you will do more damage that way, because a high-power continuous-beam laser is somewhat self-defeating: once it vaporizes a tiny bit of moisture and/or surface flesh, that very vapor shields the underlying material from the full strength of the beam--you waste energy further heating and expanding a stream of already-damaged material! Moving the impact point helps mitigate that.
A better mitigation, however, is to chirp the beam. If you shove the average power of the beam into a much-higher-instantaneous-power chirp followed by a gap, you can spend much less total energy on flash-vaporizing a surface layer (because you won't allow any time for heat to be conducted away from the impact point before vaporization actually occurs), with the side-effect of producing mechanical stress on the underlying material as the vapor expands; you then give just enough time for the vapor released by the initial chirp to dissipate before the next chirp arrives, eroding another layer of flesh, and causing more mechanical damage. With this strategy, you can rapidly drill into a surface, and then get more bang-for-your-energetic-buck by relying on the expansion of gas inside the hole to to blow the surrounding material apart, causing impact as well as thermal trauma. The goal in this case is not to heat the target up to a lethal temperature--in the end, what remains of the body should not have appreciably increased in temperature at all. Rather, the aim is to make very small amounts of the water in their body explode, and then dissipate, tearing chunks out of them without wasting energy on bulk heating.