Gradient colour for lines
In the moment there is no way to colour lines with a gradient style.
First buffer your linestrings. Then you can set a gradient colour for the buffer polygons.
Here is a HowTo: How to visualize measure values along linestrings in QGIS?
Another Idea
requirement: your lines have an disinct ID
Cut your linestrings in very small substrings (that it looks like a gradient).
"______" linestring with id 1 and 100m
"----------" every single substring must have a distinct id or serial number. Here 1 to 10 (one substring 10m). When all the linestrings have the same direction it would start with 1 und end up with the maximum count of substring.
- Categorize the substrings and use a color ramp: 1 green 10 (n substrings) red
Problem could be the large amount of classes, if you have very long linestrings.