ERJ-190 flight crew reported the number one engine surging during climb out. The crew elected to continue to the destination with priority handling.

Narrative

We first noticed engine thrust surging during climb through 12;000 ft. The aircraft wasn't climbing at a normal rate. Then through 15;000 ft.; N1 on the number 1 engine was observed to be surging between approx 56% N1 and the climb target N1. We elected to level off at FL 190 to troubleshoot. This was difficult due to the absence of EICAS (Engine Indication and Crew Alerting System) messages or abnormalities other than the N1 indications. The engine continued surging on and off for roughly 5 minutes between 56% N1 and the cruise target of about 79% before normalizing. A decision to request priority handling was made and along with our Dispatcher we elected to continue to ZZZ. The flight attendants were briefed on the situation. The rest of the flight was normal until initiating the descent at which time the number 1 engine surged again briefly and normalized again throughout the landing roll. Upon rollout ENG 1 NO DISPATCH EICAS message illuminated. The MX logbook entries were made and MX personnel met the aircraft at the Gate. I'll note that 2 MELs were present on the aircraft; ENG 1 short dispatch and engine 1 bleed system.