Student pilot on solo flight reported exceeding their assigned altitude resulting in a NMAC with a B737 flying overhead.

Narrative

I was a student solo with VFR Flight Following to ZZZ at 5;500 which departed ZZZ1 and was transferred to ZZZ Approach. I was cleared to 4;500 and below; and climbed up to 4;500. ZZZ Approach advised me of multiple instances of traffic above me as well as wake turbulence caution. While ADS-B data showed my altitude was at 4;500; I was battling turbulence and ZZZ Approach contacted me to confirm my clearance up to 4;500. With the turbulence; I may have been blown above 4;500 momentarily. ZZZ Approach asked if I had seen the 737 and I confirmed; but I had only seen it as it passed me. At my heading (065) in relation to the B737 northwest of me; the B737 was blocked from my view by my left wing. No advisory was given by ZZZ Approach to me about the B737. I was given a phone number to call for a possible pilot deviation minutes after.After reviewing flight traffic data following my flight; it was clear there was significant traffic inbound for ZZZ3 at the time of this issue. I trusted I was safe to climb to 4;500 as cleared by ZZZ Approach; but I wish I had not been cleared to the altitude where large aircraft would be descending through into ZZZ3. If I had been advised of the B737 I was unable to see; I would have immediately turned away and descended to avoid it. While I haven't previously encountered wake turbulence in the ZZZ3 Bravo; I will be sure to request/fly at a lower altitude to avoid potential traffic issues such as this in the future. VFR pilots have the responsibility to see and avoid; which I was making every effort to do while also following ZZZ Approach instructions; but I do not believe it was safe for me to be cleared to the altitude I was permitted to climb to.