In a hypothetical universe where the speed of light is proportional to the local gravitational field strength, a spaceship sends a laser pulse from a weak gravitational region towards a massive black hole. Here's the journey of the laser pulse:

1. **Speed**: The speed of the laser pulse increases as it approaches the black hole because the gravitational field strength (and thus the speed of light) increases. Initially, the speed is low due to weak gravity, but it becomes very high near the black hole.

2. **Frequency**: The frequency of the laser pulse increases as it moves into regions of stronger gravity. This effect, known as gravitational blueshift, causes the light to gain energy and increase in frequency.

3. **Trajectory**: The trajectory of the laser pulse is primarily radial towards the black hole. However, due to the varying speed of light caused by the changing gravitational field, there might be slight bending. In our universe, light bends towards massive objects due to spacetime curvature, and this hypothetical scenario suggests a similar effect, though the exact trajectory might differ due to the varying speed of light.

### Final Answer
The laser pulse speed increases, frequency increases, and trajectory curves toward the black hole—so, \boxed{\text{Speed increases, frequency increases, and trajectory curves toward the black hole}}.