Darren Pratley's first-half header from Marc Tierney's cross had given Wanderers the lead.
But David Wheater then gave away a penalty in the early stages of the second half to give Blackman the chance to equalise, which he duly converted to earn the Royals a point.
Freedman said: "I felt that it was a good match and we were outstanding in the first 45 minutes.
"But fair play to Reading. They looked like a Premier League side today and they counter-attacked us really well.
"I will be amazed if they aren't in the top six. We've played a really top team there and there wasn't much in it.
Reading manager Nigel Adkins, meanwhile, defended the referee's performance despite two further penalty decisions not going their way.
More top news
Thursday afternoon's weather for the west of the region
Thursday afternoon's weather for the east of the region
Mark Love has been found guilty of the horrific attack and murder of Roy Blackman, an elderly businessman, at his home in Biddenden in Kent