The French Open starts tomorrow.
On Freeview, there is live coverage on channel 301 generally from 10 am to 7 pm on most days, subject to other events such as next weekend's GP. There is also highlights on BBC2 but late night. I don't know whether Andy Murray's matches will get shown live on BBC1 or 2.
In the first round Andy Murray is drawn against Eric Prodon (ranked 118) of France. No other British men in the singles.
In the women's singles:
Anne Keovathong (ranked 108) is drawn against Vesna Dolents (ranked 101) of Russia
Elena Baltacha (ranked 83) is drawn against Sloane Stephens (ranked 138) of the States
and Heather Watson (ranked 119 and climbing) is drawn against Stephanie Foretz Gacon (ranked 140) of France.