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
Saturday's weather for the east with Philippa
Saturday's weather for the west with Philippa
Memorial events are taking place in tribute to the victims of the Shoreham air crash.