In reply to bigbadsquare:
Get out there. If anything, there is far more (and better) climbing for a low-grade climber outside than any wall can offer.
Excellent grit venues with a wealth of low-grade, high quality bouldering would be Cratcliffe Tor and Robin Hoods Stride, The Roaches or Burbage South. Almost as good would be Stanage and Burbage North. Curbar has an excellent couple of boulders for a shorter session, and there are decent low grade boulders to play on above both Froggatt and Birchen. Also, don't be blinkered by guidebooks - there are loads of lovely bits of rock to play on that are generally considered too easy to put into the guides but can be perfect for a warm up or getting used to the rock.
Someone earlier recommended Baslow, but I don't think that would be a good venue to be honest. There isn't a huge amount there for a first timer, and some of the problems/micro routes are quite high.
Finally, at this time of year the midges can be a problem. Fortunately, they don't like wind or sunshine, which are also perfect conditions for a great day out. If it is looking overcast and still, it might not be worth the petrol money unless you are quite close by.