Yes
But only when counting manufacturing jobs, according to this data set of manufacturing jobs in Pennsylvania from the Bureau of Labor Statistics. The GOP is providing figures for the date ranges of January 2017 - March 2019 (currently preliminary) for Trump, and January 2009 - January 2017 for Obama. The unemployment rate in Pennsylvania is 3.9%, which is the lowest unemployment rate for the state since 1976 according to Pennsylvania's Department of Labor & Industry.
There's a couple of different ways to interpret the first part of the claim.
First there's a bunch of graphs here. Focusing on the 'employment' graph, at the beginning of Obama's term Pennsylvania's employment was just a hair over 6 million. By 01/17, it was hovering around 6.1 million, indicating roughly a 100,000 increase in the number of employed individuals under Obama.
But that's counting employed people, not available jobs, which is what the GOP could be referring to. On Page 10 of this PDF from Pennsylvania's DLI Center for Workforce Information & Analysis, another chart shows the number of seasonally adjusted total nonfarm jobs between December 2007 and December 2017. Reading this graph, at Dec-08 it shows approximately 5,700,000 nonfarm jobs, and looking over to Dec-16 the line there is crossing the 5,900,000 threshold.
But maybe the GOP is just being terse on twitter, and they're only counting manufacturing jobs. From the DLI source, Manufacturing jobs in fact did decrease in PA between December 2007 and December 2017 by -92,700 jobs, so at least now we're in the ballpark, and I think it's safe to say this is what the GOP is specifically referring to.
Referring to this data set from Bureau of Labor Statistics, it shows that from January 2017 there were 561,200 manufacturing jobs, and in March 2019 (marked preliminary) there were reportedly 566,200 manufacturing jobs, or a 5,000 job increase during this time.
Using the same table to cross-check the results for Obama, in January 2009 there were 612,200 manufacturing jobs, and in January 2017 there were 561,200, a decrease of 51,000 manufacturing jobs.
Is this a record low unemployment rate?
This is how it is being reported by the state government:
Pennsylvania's unemployment rate decreased one-tenth of a percentage point to a record low 3.9 percent in March – the lowest rate since 1976. The national rate was unchanged from February at 3.8 percent. The Pennsylvania unemployment rate declined by one-half of a percentage point from March 2018.
The estimated number of Pennsylvania residents working or looking for work, known as the civilian labor force, was up 5,000 over the month. The number of employed Pennsylvanians rose by 10,000 to a record high of 6,219,000. The number of unemployed residents was down 6,000 from February to its lowest level since it was matched in August 2000.
And from a local CBS affiliate:
The Pennsylvania unemployment rates dropped to the lowest point since 1976, said state officials in a newly released jobs report.
The Department of Labor and Industry released on Friday that the commonwealth’s unemployment rate decreased one-tenth of a percentage point to a record low of 3.9% in March.
This claim is based on a report prepared by Pennsylvania's Department of Labor & Industry, but I could not find the actual report published there. Given the specific assertions made by the PA State government about a report prepared by the PA State government, I'm assuming them to be accurate unless a link to the actual report can be found.