Again......how does it ldle?
If the idle circuit is running too lean to start, it'll hunt a little bit (vary idle speed up and down just a little at will) and sometimes stall at idle. It may also have a vacuum leak, causing idle speed hunting and often running the idle speed up higher, then coming back down again - all indications of running lean.
When running and sitting at idle for 10 seconds or more, it'll bog off idle like mad - almost like it's going to stall, and generally act like you describe. Several cures are things like clearing a clogged idle jet (or more than one), re-setting your accelerator pump stroke for a richer squirt, checking for and eliminating a vacuum leak, or going to larger idle circuit jets.
But it all comes down to, How does it idle?