By all means, look at your hands when you are playing. The old adage "look at the score, always look at the score, have you eyes glued to the score" is not tenable (IMHO). At your stage, you will likely be still overwhelmed with everything that is going on. Nobody expects you to have a perfect keyboard map yet (i.e. you would know exactly where every key is without looking and how to move to reach them). Even the most virtuosic pianists have to look from time to time.
Also, you need to observe your hands and fingers to make sure they are carrying out the correct motions.
So, yes, look!
Having said this, a reliable and accurate keyboard map is a great skill to have, but is not something you should focus on at this point. One way to slowly develop it (and make your playing a lot easier in general) is to think in five-finger patterns. This is, figure out your fingering such that you can play as many notes as possible without moving your hand. Within one hand position (let's call it the 'home position'), you should be able to play the notes without looking at your fingers. You will only have to look when you have to shift your hands.
Shifting hands can be made a lot easier when using certain tricks. My favorite one is finger substitution. Let's say, I have a 'home position' with my thumb on middle C. I play there for a while and then have to move my hand such that the new 'home position' would be with the thumb on the E above middle C. I simply substitute finger 3 with the thumb, that is leave finger 3 on the E and move the thumb there as well, then relax the hand into the new 'home position'. The presence of finger 3 will guide your thumb. You will not have to look at your hands when you do that, and you can do this irrespective of whether finger 3 plays the E at that point or not. Be aware though that this might lead to some awkward movements. In my example above, you would have to do a thumb-under motion, which is an awkward motion. With practice, you will be able to shift your hand while minimizing awkward movements. You will also slowly ingrain what the distance for an octave or a sixth, etc is. There is no real need to focus on it right now. Just play with an alert and conscious mind at all times, and it will come automatically.
I hope I am making sense.