Will my commute get easier? I cycle 20 miles total per day, on 3 or 4 days week, commuting between work and home.

Will this get easier? as stupid as it sounds.

I start work at 6:30am and can't drive so I cycle until I can afford a moped and cbt training (?). Right now I find it mega hard in the morning.

I bought a new hybrid bike with slick tires etc. I go at easy pace and take about 50 minutess each way.  I suppose I am looking for encouragement as will need to do this for least another 2 months. And I have a few heavy inclines to battle also.

I am 32 and not really fit.
My personal experience: I (re)started biking on commute last October, 26 km both ways.

Though I believed I was not rusty (I was able to cycle 80 km in one day without complaints), the first few weeks it was really demanding. I was able to cover the one way trip in somehow 45-50 minutes, and when it was Friday I could feel really empty and craving for rest.

Now I do the same distance in 30-35 minutes and it has become my substitute for morning coffee.

Long story short: your body needs time to get used to the routine and also to the different post-effort routine. Try to keep a constant pace until you get used to it, and then try to push your effort a bit further. In this way you won't get worn out.