As you mention you're getting lessons, your teacher would be the person to give you advice on that subject... if he/she hasn't done that yet, I'd suppose he reckons it is too early for you to attempt that. There is a reason why beginners are usually started (besides practicing boring things like working the bellows, pressing the bag, closing all finger holes reliably at any time, playing scales, precise and strictly closed fingering and so on...
) with a number of tunes that don't go beyond the first octave - you need to get a feeling for the instrument as such and learn the very basics thoroughly before you reach out to higher realms - you have to learn to walk before you can run.
However, here's how I advice my students to do it (and it sounds much more difficult than it actually is, provided you've done your homework and did all your beginners' exercises carefully and regularly:
Unlike on whistle or most other woodwind instruments, you will NOT get the octave by just blowing harder. Before getting into the second octave, ALL finger holes (as well as the bottom of the chanter) MUST be closed completely, ANY leak will most probably lead to failure.
What's required next is just a little more pressure on the bag - only a minute bit, think of it like more of an impulse to persuade the reed to vibrate at a higher mode, rather than overblowing like you would on whistle or flute. At the same time, you sort of "snap" the holes of the desired note open - the opening of the hole should be very prompt and decisive. As soon as you've reached the octave, you can (and should) release the (though minimal) extra pressure on the bag, to maintain the octave once you've reached it should not require noticeably more pressure than playing in the first octave.
All this happens in very short time, nevertheless accuracy is crucial.
This will work for E, F# and G.
For A and B it won't - you need to play an auxiliary tone beforehand - play a very short F# or G to get into the octave before you play A or B. Ideally, the auxiliary tone is so short that it can't be perceived as such.
Again, I do not wish to anticipate your teacher's plans - don't try things you're not fit for just to impress your teacher! It's very easy to get into bad habits which can be very difficult to rectify at a later date.
And definitely - DON'T MESS WITH THE REED unless you know exactly what you're doing - and as long as you feel it's messing, you certainly don't know it!