Technicaly, you would be able to do it with a good smoothing plane with very tight mouth and really sharp blade - low angle plane could help (but only if the real cutting angle was lower than on "normal" plane - which it often isn't - because of bevel up blade).
But as was pointed out in comments (which I think should really be answers), sanding may be much easier option and I would recommend that.
If you decide for hand-planing - sharpening (again, as was pointed out in the comments) is really essential - almost every new plane blade needs sharpening no matter if it's new or used (some new low-quality plane blades will in fact need more sharpening than well maintained used ones). And sharpening is very, very complex issue, and mastering it may take a long time. I would suggest just searching "how to sharpen plane" on youtube - there are many ways, and it's up to you to find out what will work for you - so just go and watch some - https://www.youtube.com/results?search_query=plane+sharpening