In a hypothetical universe where the speed of light is proportional to the local gravitational field strength, the journey of a laser pulse sent from a region of weak gravity towards a massive black hole can be described as follows:

1. **Speed of the Laser Pulse:**
   - As the laser pulse travels towards the black hole, it encounters stronger gravitational fields. Consequently, the speed of light (c) increases. The laser's speed accelerates as it approaches the black hole, moving faster in regions of stronger gravity.

2. **Frequency of the Laser Pulse:**
   - The frequency of the laser pulse increases (blueshift) as it approaches the black hole. This occurs because, in regions of stronger gravity, the speed of light increases, leading to a higher frequency observed locally. From the perspective of a distant observer, the blueshift is due to the light escaping the gravitational well, but the local effect of increasing c amplifies this phenomenon.

3. **Trajectory of the Laser Pulse:**
   - The trajectory of the laser pulse is influenced by the gravitational field. Despite the increased speed of light near the black hole, the strong gravitational field causes significant bending of the light's path. The exact curvature depends on the balance between the increased speed and the gravitational potential, but the light is expected to follow a curved path due to the black hole's massive influence.

In summary, as the laser pulse approaches the black hole, its speed increases, its frequency shifts to higher values (blueshift), and its path curves significantly under the influence of the black hole's gravity.