As mentioned by Walter Roberson, you could use the function waterfall, however after testing a bit myself I found that it is a little bit annoying to get the same colors as your example. Also waterfall seems to have the downside that the start and end of each line will always end at the lowest height of the data in the z-direction.
Therefore it might be easier to just use plot3, for example:
clearvars
close all
N = 50; % number of points in the x direction.
M = 5; % number of points in the y direction.
x = linspace(0, 1, N);
y = 1 : M;
% Create somewhat similar data
[X, Y] = meshgrid(x, y);
Z1 = rand(M, N) + Y .* exp(-3*X);
Z2 = rand(M, N) + Y .* exp(-3*X);
% plot each line using a for loop
hold all
for k = 1 : M
plot3(x, y(k)*ones(1,N), Z1(k,:), 'b')
plot3(x, y(k)*ones(1,N), Z2(k,:), 'r')
end
grid on
view([50 30])
