probably easiest would be to create a datetime object:
% sample data
data = rand(1,8760);
% starting year/month/day of data
Y = 2020;
M = 1;
D = 1;
% hours of data
H = 1:8760;
t = datetime(Y,M,D,H,0,0);
% plot your data, formating x-axis in month names
plot(t,data,'DatetimeTickFormat','MMMM')
% make sure every month gets a tick
xticks(datetime(Y,1:12,0))
% angle ticks for readability
xtickangle(45)
